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Finding the Fourth Proportional to 8,149.60, 11,230.32 and 5,785.12

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Solution

The fourth proportional to 8,149.60, 11,230.32 and 5,785.12 is: 7,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.60 : 11,230.32 = 5,785.12 : x
  2. Step 2: Convert to fraction form
    8,149.60/11,230.32 = 5,785.12/x
  3. Step 3: Cross multiply
    8,149.60x = 11,230.32 × 5,785.12
  4. Step 4: Simplify right side
    8,149.60x = 64,968,748.84
  5. Step 5: Solve for x
    x = 64,968,748.84/8,149.60
  6. Step 6: Final answer
    x = 7,972.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.