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Finding the Fourth Proportional to 8,370.87, 11,542.46 and 5,382.57

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Solution

The fourth proportional to 8,370.87, 11,542.46 and 5,382.57 is: 7,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.87 : 11,542.46 = 5,382.57 : x
  2. Step 2: Convert to fraction form
    8,370.87/11,542.46 = 5,382.57/x
  3. Step 3: Cross multiply
    8,370.87x = 11,542.46 × 5,382.57
  4. Step 4: Simplify right side
    8,370.87x = 62,128,098.92
  5. Step 5: Solve for x
    x = 62,128,098.92/8,370.87
  6. Step 6: Final answer
    x = 7,421.94

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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.