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Finding the Fourth Proportional to 10,778.55, 14,866.38 and 9,517.38

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Solution

The fourth proportional to 10,778.55, 14,866.38 and 9,517.38 is: 13,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.55 : 14,866.38 = 9,517.38 : x
  2. Step 2: Convert to fraction form
    10,778.55/14,866.38 = 9,517.38/x
  3. Step 3: Cross multiply
    10,778.55x = 14,866.38 × 9,517.38
  4. Step 4: Simplify right side
    10,778.55x = 141,488,987.68
  5. Step 5: Solve for x
    x = 141,488,987.68/10,778.55
  6. Step 6: Final answer
    x = 13,126.90

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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.