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Finding the Fourth Proportional to 8,186.33, 12,279.20 and 2,342.93

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Solution

The fourth proportional to 8,186.33, 12,279.20 and 2,342.93 is: 3,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.33 : 12,279.20 = 2,342.93 : x
  2. Step 2: Convert to fraction form
    8,186.33/12,279.20 = 2,342.93/x
  3. Step 3: Cross multiply
    8,186.33x = 12,279.20 × 2,342.93
  4. Step 4: Simplify right side
    8,186.33x = 28,769,232.95
  5. Step 5: Solve for x
    x = 28,769,232.95/8,186.33
  6. Step 6: Final answer
    x = 3,514.30

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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.