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Finding the Fourth Proportional to 8,132.86, 12,199.71 and 2,289.92

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Solution

The fourth proportional to 8,132.86, 12,199.71 and 2,289.92 is: 3,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.86 : 12,199.71 = 2,289.92 : x
  2. Step 2: Convert to fraction form
    8,132.86/12,199.71 = 2,289.92/x
  3. Step 3: Cross multiply
    8,132.86x = 12,199.71 × 2,289.92
  4. Step 4: Simplify right side
    8,132.86x = 27,936,359.92
  5. Step 5: Solve for x
    x = 27,936,359.92/8,132.86
  6. Step 6: Final answer
    x = 3,435.00

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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.