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Finding the Fourth Proportional to 10,649.42, 15,973.23 and 4,805.90

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Solution

The fourth proportional to 10,649.42, 15,973.23 and 4,805.90 is: 7,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.42 : 15,973.23 = 4,805.90 : x
  2. Step 2: Convert to fraction form
    10,649.42/15,973.23 = 4,805.90/x
  3. Step 3: Cross multiply
    10,649.42x = 15,973.23 × 4,805.90
  4. Step 4: Simplify right side
    10,649.42x = 76,765,746.06
  5. Step 5: Solve for x
    x = 76,765,746.06/10,649.42
  6. Step 6: Final answer
    x = 7,208.44

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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.