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Finding the Fourth Proportional to 8,349.20, 11,523.88 and 5,517.12

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Solution

The fourth proportional to 8,349.20, 11,523.88 and 5,517.12 is: 7,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.20 : 11,523.88 = 5,517.12 : x
  2. Step 2: Convert to fraction form
    8,349.20/11,523.88 = 5,517.12/x
  3. Step 3: Cross multiply
    8,349.20x = 11,523.88 × 5,517.12
  4. Step 4: Simplify right side
    8,349.20x = 63,578,628.83
  5. Step 5: Solve for x
    x = 63,578,628.83/8,349.20
  6. Step 6: Final answer
    x = 7,614.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.