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Finding the Fourth Proportional to 10,221.27, 15,323.52 and 5,292.31

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Solution

The fourth proportional to 10,221.27, 15,323.52 and 5,292.31 is: 7,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.27 : 15,323.52 = 5,292.31 : x
  2. Step 2: Convert to fraction form
    10,221.27/15,323.52 = 5,292.31/x
  3. Step 3: Cross multiply
    10,221.27x = 15,323.52 × 5,292.31
  4. Step 4: Simplify right side
    10,221.27x = 81,096,818.13
  5. Step 5: Solve for x
    x = 81,096,818.13/10,221.27
  6. Step 6: Final answer
    x = 7,934.12

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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.