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Finding the Fourth Proportional to 8,174.24, 12,257.48 and 5,711.84

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Solution

The fourth proportional to 8,174.24, 12,257.48 and 5,711.84 is: 8,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.24 : 12,257.48 = 5,711.84 : x
  2. Step 2: Convert to fraction form
    8,174.24/12,257.48 = 5,711.84/x
  3. Step 3: Cross multiply
    8,174.24x = 12,257.48 × 5,711.84
  4. Step 4: Simplify right side
    8,174.24x = 70,012,764.56
  5. Step 5: Solve for x
    x = 70,012,764.56/8,174.24
  6. Step 6: Final answer
    x = 8,565.05

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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.