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Finding the Fourth Proportional to 8,132.55, 12,199.83 and 2,866.32

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Solution

The fourth proportional to 8,132.55, 12,199.83 and 2,866.32 is: 4,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.55 : 12,199.83 = 2,866.32 : x
  2. Step 2: Convert to fraction form
    8,132.55/12,199.83 = 2,866.32/x
  3. Step 3: Cross multiply
    8,132.55x = 12,199.83 × 2,866.32
  4. Step 4: Simplify right side
    8,132.55x = 34,968,616.73
  5. Step 5: Solve for x
    x = 34,968,616.73/8,132.55
  6. Step 6: Final answer
    x = 4,299.83

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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.