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Finding the Fourth Proportional to 11,711.52, 17,552.16 and 4,777.92

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Solution

The fourth proportional to 11,711.52, 17,552.16 and 4,777.92 is: 7,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.52 : 17,552.16 = 4,777.92 : x
  2. Step 2: Convert to fraction form
    11,711.52/17,552.16 = 4,777.92/x
  3. Step 3: Cross multiply
    11,711.52x = 17,552.16 × 4,777.92
  4. Step 4: Simplify right side
    11,711.52x = 83,862,816.31
  5. Step 5: Solve for x
    x = 83,862,816.31/11,711.52
  6. Step 6: Final answer
    x = 7,160.71

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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.