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Finding the Fourth Proportional to 8,186.52, 12,278.08 and 2,341.83

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Solution

The fourth proportional to 8,186.52, 12,278.08 and 2,341.83 is: 3,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.52 : 12,278.08 = 2,341.83 : x
  2. Step 2: Convert to fraction form
    8,186.52/12,278.08 = 2,341.83/x
  3. Step 3: Cross multiply
    8,186.52x = 12,278.08 × 2,341.83
  4. Step 4: Simplify right side
    8,186.52x = 28,753,176.09
  5. Step 5: Solve for x
    x = 28,753,176.09/8,186.52
  6. Step 6: Final answer
    x = 3,512.26

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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.