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Finding the Fourth Proportional to 10,354.97, 15,532.20 and 3,335.47

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Solution

The fourth proportional to 10,354.97, 15,532.20 and 3,335.47 is: 5,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.97 : 15,532.20 = 3,335.47 : x
  2. Step 2: Convert to fraction form
    10,354.97/15,532.20 = 3,335.47/x
  3. Step 3: Cross multiply
    10,354.97x = 15,532.20 × 3,335.47
  4. Step 4: Simplify right side
    10,354.97x = 51,807,148.30
  5. Step 5: Solve for x
    x = 51,807,148.30/10,354.97
  6. Step 6: Final answer
    x = 5,003.12

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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.