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Finding the Fourth Proportional to 8,187.60, 12,287.80 and 3,805.60

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Solution

The fourth proportional to 8,187.60, 12,287.80 and 3,805.60 is: 5,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.60 : 12,287.80 = 3,805.60 : x
  2. Step 2: Convert to fraction form
    8,187.60/12,287.80 = 3,805.60/x
  3. Step 3: Cross multiply
    8,187.60x = 12,287.80 × 3,805.60
  4. Step 4: Simplify right side
    8,187.60x = 46,762,451.68
  5. Step 5: Solve for x
    x = 46,762,451.68/8,187.60
  6. Step 6: Final answer
    x = 5,711.37

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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.