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Finding the Fourth Proportional to 7,711.38, 11,569.50 and 5,495.22

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Solution

The fourth proportional to 7,711.38, 11,569.50 and 5,495.22 is: 8,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.38 : 11,569.50 = 5,495.22 : x
  2. Step 2: Convert to fraction form
    7,711.38/11,569.50 = 5,495.22/x
  3. Step 3: Cross multiply
    7,711.38x = 11,569.50 × 5,495.22
  4. Step 4: Simplify right side
    7,711.38x = 63,576,947.79
  5. Step 5: Solve for x
    x = 63,576,947.79/7,711.38
  6. Step 6: Final answer
    x = 8,244.56

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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.