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Finding the Fourth Proportional to 8,117.82, 12,187.98 and 6,218.10

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Solution

The fourth proportional to 8,117.82, 12,187.98 and 6,218.10 is: 9,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.82 : 12,187.98 = 6,218.10 : x
  2. Step 2: Convert to fraction form
    8,117.82/12,187.98 = 6,218.10/x
  3. Step 3: Cross multiply
    8,117.82x = 12,187.98 × 6,218.10
  4. Step 4: Simplify right side
    8,117.82x = 75,786,078.44
  5. Step 5: Solve for x
    x = 75,786,078.44/8,117.82
  6. Step 6: Final answer
    x = 9,335.77

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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.