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Finding the Fourth Proportional to 10,687.17, 16,033.19 and 4,115.24

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Solution

The fourth proportional to 10,687.17, 16,033.19 and 4,115.24 is: 6,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.17 : 16,033.19 = 4,115.24 : x
  2. Step 2: Convert to fraction form
    10,687.17/16,033.19 = 4,115.24/x
  3. Step 3: Cross multiply
    10,687.17x = 16,033.19 × 4,115.24
  4. Step 4: Simplify right side
    10,687.17x = 65,980,324.07
  5. Step 5: Solve for x
    x = 65,980,324.07/10,687.17
  6. Step 6: Final answer
    x = 6,173.79

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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.