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Finding the Fourth Proportional to 8,029.46, 12,045.10 and 2,186.12

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Solution

The fourth proportional to 8,029.46, 12,045.10 and 2,186.12 is: 3,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.46 : 12,045.10 = 2,186.12 : x
  2. Step 2: Convert to fraction form
    8,029.46/12,045.10 = 2,186.12/x
  3. Step 3: Cross multiply
    8,029.46x = 12,045.10 × 2,186.12
  4. Step 4: Simplify right side
    8,029.46x = 26,332,034.01
  5. Step 5: Solve for x
    x = 26,332,034.01/8,029.46
  6. Step 6: Final answer
    x = 3,279.43

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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.