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Finding the Fourth Proportional to 12,761.08, 17,610.28 and 7,454.86

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Solution

The fourth proportional to 12,761.08, 17,610.28 and 7,454.86 is: 10,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.08 : 17,610.28 = 7,454.86 : x
  2. Step 2: Convert to fraction form
    12,761.08/17,610.28 = 7,454.86/x
  3. Step 3: Cross multiply
    12,761.08x = 17,610.28 × 7,454.86
  4. Step 4: Simplify right side
    12,761.08x = 131,282,109.30
  5. Step 5: Solve for x
    x = 131,282,109.30/12,761.08
  6. Step 6: Final answer
    x = 10,287.70

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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.