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Finding the Fourth Proportional to 11,963.64, 16,516.29 and 8,389.56

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Solution

The fourth proportional to 11,963.64, 16,516.29 and 8,389.56 is: 11,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.64 : 16,516.29 = 8,389.56 : x
  2. Step 2: Convert to fraction form
    11,963.64/16,516.29 = 8,389.56/x
  3. Step 3: Cross multiply
    11,963.64x = 16,516.29 × 8,389.56
  4. Step 4: Simplify right side
    11,963.64x = 138,564,405.93
  5. Step 5: Solve for x
    x = 138,564,405.93/11,963.64
  6. Step 6: Final answer
    x = 11,582.13

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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.