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Finding the Fourth Proportional to 10,711.14, 16,065.81 and 3,691.14

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Solution

The fourth proportional to 10,711.14, 16,065.81 and 3,691.14 is: 5,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.14 : 16,065.81 = 3,691.14 : x
  2. Step 2: Convert to fraction form
    10,711.14/16,065.81 = 3,691.14/x
  3. Step 3: Cross multiply
    10,711.14x = 16,065.81 × 3,691.14
  4. Step 4: Simplify right side
    10,711.14x = 59,301,153.92
  5. Step 5: Solve for x
    x = 59,301,153.92/10,711.14
  6. Step 6: Final answer
    x = 5,536.40

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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.