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Finding the Fourth Proportional to 8,392.43, 12,587.83 and 2,549.09

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Solution

The fourth proportional to 8,392.43, 12,587.83 and 2,549.09 is: 3,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.43 : 12,587.83 = 2,549.09 : x
  2. Step 2: Convert to fraction form
    8,392.43/12,587.83 = 2,549.09/x
  3. Step 3: Cross multiply
    8,392.43x = 12,587.83 × 2,549.09
  4. Step 4: Simplify right side
    8,392.43x = 32,087,511.57
  5. Step 5: Solve for x
    x = 32,087,511.57/8,392.43
  6. Step 6: Final answer
    x = 3,823.39

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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.