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Finding the Fourth Proportional to 8,131.12, 12,167.51 and 7,039.24

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Solution

The fourth proportional to 8,131.12, 12,167.51 and 7,039.24 is: 10,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.12 : 12,167.51 = 7,039.24 : x
  2. Step 2: Convert to fraction form
    8,131.12/12,167.51 = 7,039.24/x
  3. Step 3: Cross multiply
    8,131.12x = 12,167.51 × 7,039.24
  4. Step 4: Simplify right side
    8,131.12x = 85,649,962.25
  5. Step 5: Solve for x
    x = 85,649,962.25/8,131.12
  6. Step 6: Final answer
    x = 10,533.61

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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.