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Finding the Fourth Proportional to 8,294.07, 12,442.86 and 2,747.10

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Solution

The fourth proportional to 8,294.07, 12,442.86 and 2,747.10 is: 4,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.07 : 12,442.86 = 2,747.10 : x
  2. Step 2: Convert to fraction form
    8,294.07/12,442.86 = 2,747.10/x
  3. Step 3: Cross multiply
    8,294.07x = 12,442.86 × 2,747.10
  4. Step 4: Simplify right side
    8,294.07x = 34,181,780.71
  5. Step 5: Solve for x
    x = 34,181,780.71/8,294.07
  6. Step 6: Final answer
    x = 4,121.23

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Why These Related Problems?

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