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Finding the Fourth Proportional to 12,690.86, 17,511.17 and 7,387.38

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Solution

The fourth proportional to 12,690.86, 17,511.17 and 7,387.38 is: 10,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.86 : 17,511.17 = 7,387.38 : x
  2. Step 2: Convert to fraction form
    12,690.86/17,511.17 = 7,387.38/x
  3. Step 3: Cross multiply
    12,690.86x = 17,511.17 × 7,387.38
  4. Step 4: Simplify right side
    12,690.86x = 129,361,630.10
  5. Step 5: Solve for x
    x = 129,361,630.10/12,690.86
  6. Step 6: Final answer
    x = 10,193.30

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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.