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Finding the Fourth Proportional to 8,427.76, 12,641.17 and 2,584.35

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Solution

The fourth proportional to 8,427.76, 12,641.17 and 2,584.35 is: 3,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.76 : 12,641.17 = 2,584.35 : x
  2. Step 2: Convert to fraction form
    8,427.76/12,641.17 = 2,584.35/x
  3. Step 3: Cross multiply
    8,427.76x = 12,641.17 × 2,584.35
  4. Step 4: Simplify right side
    8,427.76x = 32,669,232.83
  5. Step 5: Solve for x
    x = 32,669,232.83/8,427.76
  6. Step 6: Final answer
    x = 3,876.38

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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.