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Finding the Fourth Proportional to 10,457,095.10, 15,673,978.65 and 4,065,223.10

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Solution

The fourth proportional to 10,457,095.10, 15,673,978.65 and 4,065,223.10 is: 6,093,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457,095.10 : 15,673,978.65 = 4,065,223.10 : x
  2. Step 2: Convert to fraction form
    10,457,095.10/15,673,978.65 = 4,065,223.10/x
  3. Step 3: Cross multiply
    10,457,095.10x = 15,673,978.65 × 4,065,223.10
  4. Step 4: Simplify right side
    10,457,095.10x = 63,718,220,076,886.82
  5. Step 5: Solve for x
    x = 63,718,220,076,886.82/10,457,095.10
  6. Step 6: Final answer
    x = 6,093,300.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.