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Finding the Fourth Proportional to 7,711.44, 10,641.80 and 4,174.65

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Solution

The fourth proportional to 7,711.44, 10,641.80 and 4,174.65 is: 5,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.44 : 10,641.80 = 4,174.65 : x
  2. Step 2: Convert to fraction form
    7,711.44/10,641.80 = 4,174.65/x
  3. Step 3: Cross multiply
    7,711.44x = 10,641.80 × 4,174.65
  4. Step 4: Simplify right side
    7,711.44x = 44,425,816.05
  5. Step 5: Solve for x
    x = 44,425,816.05/7,711.44
  6. Step 6: Final answer
    x = 5,761.02

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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.