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Finding the Fourth Proportional to 10,202.81, 15,308.92 and 4,657.85

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Solution

The fourth proportional to 10,202.81, 15,308.92 and 4,657.85 is: 6,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.81 : 15,308.92 = 4,657.85 : x
  2. Step 2: Convert to fraction form
    10,202.81/15,308.92 = 4,657.85/x
  3. Step 3: Cross multiply
    10,202.81x = 15,308.92 × 4,657.85
  4. Step 4: Simplify right side
    10,202.81x = 71,306,691.29
  5. Step 5: Solve for x
    x = 71,306,691.29/10,202.81
  6. Step 6: Final answer
    x = 6,988.93

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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.