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Finding the Fourth Proportional to 11,379.76, 15,711.80 and 7,132.56

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Solution

The fourth proportional to 11,379.76, 15,711.80 and 7,132.56 is: 9,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.76 : 15,711.80 = 7,132.56 : x
  2. Step 2: Convert to fraction form
    11,379.76/15,711.80 = 7,132.56/x
  3. Step 3: Cross multiply
    11,379.76x = 15,711.80 × 7,132.56
  4. Step 4: Simplify right side
    11,379.76x = 112,065,356.21
  5. Step 5: Solve for x
    x = 112,065,356.21/11,379.76
  6. Step 6: Final answer
    x = 9,847.78

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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.