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Finding the Fourth Proportional to 8,632.86, 12,954.42 and 8,086.20

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Solution

The fourth proportional to 8,632.86, 12,954.42 and 8,086.20 is: 12,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.86 : 12,954.42 = 8,086.20 : x
  2. Step 2: Convert to fraction form
    8,632.86/12,954.42 = 8,086.20/x
  3. Step 3: Cross multiply
    8,632.86x = 12,954.42 × 8,086.20
  4. Step 4: Simplify right side
    8,632.86x = 104,752,031.00
  5. Step 5: Solve for x
    x = 104,752,031.00/8,632.86
  6. Step 6: Final answer
    x = 12,134.11

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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.