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Finding the Fourth Proportional to 8,187.60, 12,281.70 and 2,641.02

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Solution

The fourth proportional to 8,187.60, 12,281.70 and 2,641.02 is: 3,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.60 : 12,281.70 = 2,641.02 : x
  2. Step 2: Convert to fraction form
    8,187.60/12,281.70 = 2,641.02/x
  3. Step 3: Cross multiply
    8,187.60x = 12,281.70 × 2,641.02
  4. Step 4: Simplify right side
    8,187.60x = 32,436,215.33
  5. Step 5: Solve for x
    x = 32,436,215.33/8,187.60
  6. Step 6: Final answer
    x = 3,961.63

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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.