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Finding the Fourth Proportional to 7,711.45, 10,641.81 and 4,174.65

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Solution

The fourth proportional to 7,711.45, 10,641.81 and 4,174.65 is: 5,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.45 : 10,641.81 = 4,174.65 : x
  2. Step 2: Convert to fraction form
    7,711.45/10,641.81 = 4,174.65/x
  3. Step 3: Cross multiply
    7,711.45x = 10,641.81 × 4,174.65
  4. Step 4: Simplify right side
    7,711.45x = 44,425,847.77
  5. Step 5: Solve for x
    x = 44,425,847.77/7,711.45
  6. Step 6: Final answer
    x = 5,761.03

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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.