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Finding the Fourth Proportional to 10,109.97, 13,951.94 and 5,861.34

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Solution

The fourth proportional to 10,109.97, 13,951.94 and 5,861.34 is: 8,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.97 : 13,951.94 = 5,861.34 : x
  2. Step 2: Convert to fraction form
    10,109.97/13,951.94 = 5,861.34/x
  3. Step 3: Cross multiply
    10,109.97x = 13,951.94 × 5,861.34
  4. Step 4: Simplify right side
    10,109.97x = 81,777,034.69
  5. Step 5: Solve for x
    x = 81,777,034.69/10,109.97
  6. Step 6: Final answer
    x = 8,088.75

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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.