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Finding the Fourth Proportional to 8,588.26, 12,882.39 and 8,129.80

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Solution

The fourth proportional to 8,588.26, 12,882.39 and 8,129.80 is: 12,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,588.26 : 12,882.39 = 8,129.80 : x
  2. Step 2: Convert to fraction form
    8,588.26/12,882.39 = 8,129.80/x
  3. Step 3: Cross multiply
    8,588.26x = 12,882.39 × 8,129.80
  4. Step 4: Simplify right side
    8,588.26x = 104,731,254.22
  5. Step 5: Solve for x
    x = 104,731,254.22/8,588.26
  6. Step 6: Final answer
    x = 12,194.70

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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.