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Finding the Fourth Proportional to 10,707.53, 16,062.71 and 10,117.31

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Solution

The fourth proportional to 10,707.53, 16,062.71 and 10,117.31 is: 15,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.53 : 16,062.71 = 10,117.31 : x
  2. Step 2: Convert to fraction form
    10,707.53/16,062.71 = 10,117.31/x
  3. Step 3: Cross multiply
    10,707.53x = 16,062.71 × 10,117.31
  4. Step 4: Simplify right side
    10,707.53x = 162,511,285.61
  5. Step 5: Solve for x
    x = 162,511,285.61/10,707.53
  6. Step 6: Final answer
    x = 15,177.30

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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.