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Finding the Fourth Proportional to 8,148.50, 11,245.17 and 4,422.74

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Solution

The fourth proportional to 8,148.50, 11,245.17 and 4,422.74 is: 6,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.50 : 11,245.17 = 4,422.74 : x
  2. Step 2: Convert to fraction form
    8,148.50/11,245.17 = 4,422.74/x
  3. Step 3: Cross multiply
    8,148.50x = 11,245.17 × 4,422.74
  4. Step 4: Simplify right side
    8,148.50x = 49,734,463.17
  5. Step 5: Solve for x
    x = 49,734,463.17/8,148.50
  6. Step 6: Final answer
    x = 6,103.51

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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.