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Finding the Fourth Proportional to 8,067.66, 12,102.72 and 4,116.76

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Solution

The fourth proportional to 8,067.66, 12,102.72 and 4,116.76 is: 6,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.66 : 12,102.72 = 4,116.76 : x
  2. Step 2: Convert to fraction form
    8,067.66/12,102.72 = 4,116.76/x
  3. Step 3: Cross multiply
    8,067.66x = 12,102.72 × 4,116.76
  4. Step 4: Simplify right side
    8,067.66x = 49,823,973.00
  5. Step 5: Solve for x
    x = 49,823,973.00/8,067.66
  6. Step 6: Final answer
    x = 6,175.77

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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.