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Finding the Fourth Proportional to 7,344.68, 11,017.71 and 2,414.33

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Solution

The fourth proportional to 7,344.68, 11,017.71 and 2,414.33 is: 3,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.68 : 11,017.71 = 2,414.33 : x
  2. Step 2: Convert to fraction form
    7,344.68/11,017.71 = 2,414.33/x
  3. Step 3: Cross multiply
    7,344.68x = 11,017.71 × 2,414.33
  4. Step 4: Simplify right side
    7,344.68x = 26,600,387.78
  5. Step 5: Solve for x
    x = 26,600,387.78/7,344.68
  6. Step 6: Final answer
    x = 3,621.72

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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.