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Finding the Fourth Proportional to 7,154.52, 10,723.68 and 3,869.16

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Solution

The fourth proportional to 7,154.52, 10,723.68 and 3,869.16 is: 5,799.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.52 : 10,723.68 = 3,869.16 : x
  2. Step 2: Convert to fraction form
    7,154.52/10,723.68 = 3,869.16/x
  3. Step 3: Cross multiply
    7,154.52x = 10,723.68 × 3,869.16
  4. Step 4: Simplify right side
    7,154.52x = 41,491,633.71
  5. Step 5: Solve for x
    x = 41,491,633.71/7,154.52
  6. Step 6: Final answer
    x = 5,799.36

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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.