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Finding the Fourth Proportional to 8,517.44, 12,776.88 and 2,277.52

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Solution

The fourth proportional to 8,517.44, 12,776.88 and 2,277.52 is: 3,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.44 : 12,776.88 = 2,277.52 : x
  2. Step 2: Convert to fraction form
    8,517.44/12,776.88 = 2,277.52/x
  3. Step 3: Cross multiply
    8,517.44x = 12,776.88 × 2,277.52
  4. Step 4: Simplify right side
    8,517.44x = 29,099,599.74
  5. Step 5: Solve for x
    x = 29,099,599.74/8,517.44
  6. Step 6: Final answer
    x = 3,416.47

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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.