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Finding the Fourth Proportional to 10,891.20, 16,339.20 and 5,046.40

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Solution

The fourth proportional to 10,891.20, 16,339.20 and 5,046.40 is: 7,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.20 : 16,339.20 = 5,046.40 : x
  2. Step 2: Convert to fraction form
    10,891.20/16,339.20 = 5,046.40/x
  3. Step 3: Cross multiply
    10,891.20x = 16,339.20 × 5,046.40
  4. Step 4: Simplify right side
    10,891.20x = 82,454,138.88
  5. Step 5: Solve for x
    x = 82,454,138.88/10,891.20
  6. Step 6: Final answer
    x = 7,570.71

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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.