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Finding the Fourth Proportional to 7,711.62, 11,568.60 and 2,516.28

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Solution

The fourth proportional to 7,711.62, 11,568.60 and 2,516.28 is: 3,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.62 : 11,568.60 = 2,516.28 : x
  2. Step 2: Convert to fraction form
    7,711.62/11,568.60 = 2,516.28/x
  3. Step 3: Cross multiply
    7,711.62x = 11,568.60 × 2,516.28
  4. Step 4: Simplify right side
    7,711.62x = 29,109,836.81
  5. Step 5: Solve for x
    x = 29,109,836.81/7,711.62
  6. Step 6: Final answer
    x = 3,774.80

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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.