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Finding the Fourth Proportional to 8,409.24, 12,612.90 and 2,252.76

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Solution

The fourth proportional to 8,409.24, 12,612.90 and 2,252.76 is: 3,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.24 : 12,612.90 = 2,252.76 : x
  2. Step 2: Convert to fraction form
    8,409.24/12,612.90 = 2,252.76/x
  3. Step 3: Cross multiply
    8,409.24x = 12,612.90 × 2,252.76
  4. Step 4: Simplify right side
    8,409.24x = 28,413,836.60
  5. Step 5: Solve for x
    x = 28,413,836.60/8,409.24
  6. Step 6: Final answer
    x = 3,378.88

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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.