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Finding the Fourth Proportional to 10,108.76, 13,951.30 and 5,917

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Solution

The fourth proportional to 10,108.76, 13,951.30 and 5,917 is: 8,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.76 : 13,951.30 = 5,917 : x
  2. Step 2: Convert to fraction form
    10,108.76/13,951.30 = 5,917/x
  3. Step 3: Cross multiply
    10,108.76x = 13,951.30 × 5,917
  4. Step 4: Simplify right side
    10,108.76x = 82,549,842.10
  5. Step 5: Solve for x
    x = 82,549,842.10/10,108.76
  6. Step 6: Final answer
    x = 8,166.17

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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.