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Finding the Fourth Proportional to 10,497.52, 15,735.12 and 3,920.86

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Solution

The fourth proportional to 10,497.52, 15,735.12 and 3,920.86 is: 5,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.52 : 15,735.12 = 3,920.86 : x
  2. Step 2: Convert to fraction form
    10,497.52/15,735.12 = 3,920.86/x
  3. Step 3: Cross multiply
    10,497.52x = 15,735.12 × 3,920.86
  4. Step 4: Simplify right side
    10,497.52x = 61,695,202.60
  5. Step 5: Solve for x
    x = 61,695,202.60/10,497.52
  6. Step 6: Final answer
    x = 5,877.12

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