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Finding the Fourth Proportional to 8,853.44, 12,217.65 and 5,497.61

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Solution

The fourth proportional to 8,853.44, 12,217.65 and 5,497.61 is: 7,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,853.44 : 12,217.65 = 5,497.61 : x
  2. Step 2: Convert to fraction form
    8,853.44/12,217.65 = 5,497.61/x
  3. Step 3: Cross multiply
    8,853.44x = 12,217.65 × 5,497.61
  4. Step 4: Simplify right side
    8,853.44x = 67,167,874.82
  5. Step 5: Solve for x
    x = 67,167,874.82/8,853.44
  6. Step 6: Final answer
    x = 7,586.64

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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.