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Finding the Fourth Proportional to 10,435.76, 15,649.92 and 4,888.16

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Solution

The fourth proportional to 10,435.76, 15,649.92 and 4,888.16 is: 7,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.76 : 15,649.92 = 4,888.16 : x
  2. Step 2: Convert to fraction form
    10,435.76/15,649.92 = 4,888.16/x
  3. Step 3: Cross multiply
    10,435.76x = 15,649.92 × 4,888.16
  4. Step 4: Simplify right side
    10,435.76x = 76,499,312.95
  5. Step 5: Solve for x
    x = 76,499,312.95/10,435.76
  6. Step 6: Final answer
    x = 7,330.50

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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.