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Finding the Fourth Proportional to 10,446.53, 15,683.69 and 6,067.13

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Solution

The fourth proportional to 10,446.53, 15,683.69 and 6,067.13 is: 9,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.53 : 15,683.69 = 6,067.13 : x
  2. Step 2: Convert to fraction form
    10,446.53/15,683.69 = 6,067.13/x
  3. Step 3: Cross multiply
    10,446.53x = 15,683.69 × 6,067.13
  4. Step 4: Simplify right side
    10,446.53x = 95,154,922.86
  5. Step 5: Solve for x
    x = 95,154,922.86/10,446.53
  6. Step 6: Final answer
    x = 9,108.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.