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Finding the Fourth Proportional to 10,865.68, 14,994.56 and 6,149.92

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Solution

The fourth proportional to 10,865.68, 14,994.56 and 6,149.92 is: 8,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.68 : 14,994.56 = 6,149.92 : x
  2. Step 2: Convert to fraction form
    10,865.68/14,994.56 = 6,149.92/x
  3. Step 3: Cross multiply
    10,865.68x = 14,994.56 × 6,149.92
  4. Step 4: Simplify right side
    10,865.68x = 92,215,344.44
  5. Step 5: Solve for x
    x = 92,215,344.44/10,865.68
  6. Step 6: Final answer
    x = 8,486.85

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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.