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Finding the Fourth Proportional to 8,132.91, 12,199.50 and 2,289.66

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Solution

The fourth proportional to 8,132.91, 12,199.50 and 2,289.66 is: 3,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.91 : 12,199.50 = 2,289.66 : x
  2. Step 2: Convert to fraction form
    8,132.91/12,199.50 = 2,289.66/x
  3. Step 3: Cross multiply
    8,132.91x = 12,199.50 × 2,289.66
  4. Step 4: Simplify right side
    8,132.91x = 27,932,707.17
  5. Step 5: Solve for x
    x = 27,932,707.17/8,132.91
  6. Step 6: Final answer
    x = 3,434.53

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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.