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Finding the Fourth Proportional to 7,711.28, 11,538.50 and 5,453.14

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Solution

The fourth proportional to 7,711.28, 11,538.50 and 5,453.14 is: 8,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.28 : 11,538.50 = 5,453.14 : x
  2. Step 2: Convert to fraction form
    7,711.28/11,538.50 = 5,453.14/x
  3. Step 3: Cross multiply
    7,711.28x = 11,538.50 × 5,453.14
  4. Step 4: Simplify right side
    7,711.28x = 62,921,055.89
  5. Step 5: Solve for x
    x = 62,921,055.89/7,711.28
  6. Step 6: Final answer
    x = 8,159.61

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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.