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Finding the Fourth Proportional to 8,066.40, 12,083.41 and 4,117.49

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Solution

The fourth proportional to 8,066.40, 12,083.41 and 4,117.49 is: 6,167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.40 : 12,083.41 = 4,117.49 : x
  2. Step 2: Convert to fraction form
    8,066.40/12,083.41 = 4,117.49/x
  3. Step 3: Cross multiply
    8,066.40x = 12,083.41 × 4,117.49
  4. Step 4: Simplify right side
    8,066.40x = 49,753,339.76
  5. Step 5: Solve for x
    x = 49,753,339.76/8,066.40
  6. Step 6: Final answer
    x = 6,167.97

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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.