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Finding the Fourth Proportional to 10,672.87, 14,727.74 and 6,195.90

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Solution

The fourth proportional to 10,672.87, 14,727.74 and 6,195.90 is: 8,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.87 : 14,727.74 = 6,195.90 : x
  2. Step 2: Convert to fraction form
    10,672.87/14,727.74 = 6,195.90/x
  3. Step 3: Cross multiply
    10,672.87x = 14,727.74 × 6,195.90
  4. Step 4: Simplify right side
    10,672.87x = 91,251,530.63
  5. Step 5: Solve for x
    x = 91,251,530.63/10,672.87
  6. Step 6: Final answer
    x = 8,549.86

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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.