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Finding the Fourth Proportional to 6,687.24, 9,219.52 and 5,487.80

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Solution

The fourth proportional to 6,687.24, 9,219.52 and 5,487.80 is: 7,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.24 : 9,219.52 = 5,487.80 : x
  2. Step 2: Convert to fraction form
    6,687.24/9,219.52 = 5,487.80/x
  3. Step 3: Cross multiply
    6,687.24x = 9,219.52 × 5,487.80
  4. Step 4: Simplify right side
    6,687.24x = 50,594,881.86
  5. Step 5: Solve for x
    x = 50,594,881.86/6,687.24
  6. Step 6: Final answer
    x = 7,565.88

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