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Finding the Fourth Proportional to 11,717.34, 16,153.11 and 8,354.31

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Solution

The fourth proportional to 11,717.34, 16,153.11 and 8,354.31 is: 11,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.34 : 16,153.11 = 8,354.31 : x
  2. Step 2: Convert to fraction form
    11,717.34/16,153.11 = 8,354.31/x
  3. Step 3: Cross multiply
    11,717.34x = 16,153.11 × 8,354.31
  4. Step 4: Simplify right side
    11,717.34x = 134,948,088.40
  5. Step 5: Solve for x
    x = 134,948,088.40/11,717.34
  6. Step 6: Final answer
    x = 11,516.96

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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.