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Finding the Fourth Proportional to 7,711.45, 10,641.88 and 4,174.74

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Solution

The fourth proportional to 7,711.45, 10,641.88 and 4,174.74 is: 5,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.45 : 10,641.88 = 4,174.74 : x
  2. Step 2: Convert to fraction form
    7,711.45/10,641.88 = 4,174.74/x
  3. Step 3: Cross multiply
    7,711.45x = 10,641.88 × 4,174.74
  4. Step 4: Simplify right side
    7,711.45x = 44,427,087.33
  5. Step 5: Solve for x
    x = 44,427,087.33/7,711.45
  6. Step 6: Final answer
    x = 5,761.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.