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Finding the Fourth Proportional to 10,049.10, 13,867.77 and 6,069.47

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Solution

The fourth proportional to 10,049.10, 13,867.77 and 6,069.47 is: 8,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.10 : 13,867.77 = 6,069.47 : x
  2. Step 2: Convert to fraction form
    10,049.10/13,867.77 = 6,069.47/x
  3. Step 3: Cross multiply
    10,049.10x = 13,867.77 × 6,069.47
  4. Step 4: Simplify right side
    10,049.10x = 84,170,013.98
  5. Step 5: Solve for x
    x = 84,170,013.98/10,049.10
  6. Step 6: Final answer
    x = 8,375.88

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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.