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Finding the Fourth Proportional to 8,097.60, 12,144.96 and 2,252.76

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Solution

The fourth proportional to 8,097.60, 12,144.96 and 2,252.76 is: 3,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.60 : 12,144.96 = 2,252.76 : x
  2. Step 2: Convert to fraction form
    8,097.60/12,144.96 = 2,252.76/x
  3. Step 3: Cross multiply
    8,097.60x = 12,144.96 × 2,252.76
  4. Step 4: Simplify right side
    8,097.60x = 27,359,680.09
  5. Step 5: Solve for x
    x = 27,359,680.09/8,097.60
  6. Step 6: Final answer
    x = 3,378.74

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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.