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Finding the Fourth Proportional to 8,009.60, 12,007.44 and 3,847.52

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Solution

The fourth proportional to 8,009.60, 12,007.44 and 3,847.52 is: 5,767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.60 : 12,007.44 = 3,847.52 : x
  2. Step 2: Convert to fraction form
    8,009.60/12,007.44 = 3,847.52/x
  3. Step 3: Cross multiply
    8,009.60x = 12,007.44 × 3,847.52
  4. Step 4: Simplify right side
    8,009.60x = 46,198,865.55
  5. Step 5: Solve for x
    x = 46,198,865.55/8,009.60
  6. Step 6: Final answer
    x = 5,767.94

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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.