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Finding the Fourth Proportional to 10,107.52, 13,949.13 and 5,859.88

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Solution

The fourth proportional to 10,107.52, 13,949.13 and 5,859.88 is: 8,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.52 : 13,949.13 = 5,859.88 : x
  2. Step 2: Convert to fraction form
    10,107.52/13,949.13 = 5,859.88/x
  3. Step 3: Cross multiply
    10,107.52x = 13,949.13 × 5,859.88
  4. Step 4: Simplify right side
    10,107.52x = 81,740,227.90
  5. Step 5: Solve for x
    x = 81,740,227.90/10,107.52
  6. Step 6: Final answer
    x = 8,087.07

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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.