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Finding the Fourth Proportional to 8,067.60, 12,102.48 and 7,853.76

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Solution

The fourth proportional to 8,067.60, 12,102.48 and 7,853.76 is: 11,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.60 : 12,102.48 = 7,853.76 : x
  2. Step 2: Convert to fraction form
    8,067.60/12,102.48 = 7,853.76/x
  3. Step 3: Cross multiply
    8,067.60x = 12,102.48 × 7,853.76
  4. Step 4: Simplify right side
    8,067.60x = 95,049,973.32
  5. Step 5: Solve for x
    x = 95,049,973.32/8,067.60
  6. Step 6: Final answer
    x = 11,781.69

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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.