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Finding the Fourth Proportional to 11,963.68, 16,516.36 and 8,389.61

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Solution

The fourth proportional to 11,963.68, 16,516.36 and 8,389.61 is: 11,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.68 : 16,516.36 = 8,389.61 : x
  2. Step 2: Convert to fraction form
    11,963.68/16,516.36 = 8,389.61/x
  3. Step 3: Cross multiply
    11,963.68x = 16,516.36 × 8,389.61
  4. Step 4: Simplify right side
    11,963.68x = 138,565,761.67
  5. Step 5: Solve for x
    x = 138,565,761.67/11,963.68
  6. Step 6: Final answer
    x = 11,582.20

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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.