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Finding the Fourth Proportional to 11,167.39, 15,411.17 and 6,131.54

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Solution

The fourth proportional to 11,167.39, 15,411.17 and 6,131.54 is: 8,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.39 : 15,411.17 = 6,131.54 : x
  2. Step 2: Convert to fraction form
    11,167.39/15,411.17 = 6,131.54/x
  3. Step 3: Cross multiply
    11,167.39x = 15,411.17 × 6,131.54
  4. Step 4: Simplify right side
    11,167.39x = 94,494,205.30
  5. Step 5: Solve for x
    x = 94,494,205.30/11,167.39
  6. Step 6: Final answer
    x = 8,461.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.