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Finding the Fourth Proportional to 8,131.74, 12,168.45 and 7,039.86

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Solution

The fourth proportional to 8,131.74, 12,168.45 and 7,039.86 is: 10,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.74 : 12,168.45 = 7,039.86 : x
  2. Step 2: Convert to fraction form
    8,131.74/12,168.45 = 7,039.86/x
  3. Step 3: Cross multiply
    8,131.74x = 12,168.45 × 7,039.86
  4. Step 4: Simplify right side
    8,131.74x = 85,664,184.42
  5. Step 5: Solve for x
    x = 85,664,184.42/8,131.74
  6. Step 6: Final answer
    x = 10,534.55

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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.