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Finding the Fourth Proportional to 7,715.57, 11,572.47 and 2,169.14

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Solution

The fourth proportional to 7,715.57, 11,572.47 and 2,169.14 is: 3,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.57 : 11,572.47 = 2,169.14 : x
  2. Step 2: Convert to fraction form
    7,715.57/11,572.47 = 2,169.14/x
  3. Step 3: Cross multiply
    7,715.57x = 11,572.47 × 2,169.14
  4. Step 4: Simplify right side
    7,715.57x = 25,102,249.71
  5. Step 5: Solve for x
    x = 25,102,249.71/7,715.57
  6. Step 6: Final answer
    x = 3,253.46

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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.