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Finding the Fourth Proportional to 11,542.71, 15,924.67 and 8,854.41

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Solution

The fourth proportional to 11,542.71, 15,924.67 and 8,854.41 is: 12,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.71 : 15,924.67 = 8,854.41 : x
  2. Step 2: Convert to fraction form
    11,542.71/15,924.67 = 8,854.41/x
  3. Step 3: Cross multiply
    11,542.71x = 15,924.67 × 8,854.41
  4. Step 4: Simplify right side
    11,542.71x = 141,003,557.29
  5. Step 5: Solve for x
    x = 141,003,557.29/11,542.71
  6. Step 6: Final answer
    x = 12,215.81

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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.