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Finding the Fourth Proportional to 8,035.60, 12,067.80 and 5,846.80

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Solution

The fourth proportional to 8,035.60, 12,067.80 and 5,846.80 is: 8,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.60 : 12,067.80 = 5,846.80 : x
  2. Step 2: Convert to fraction form
    8,035.60/12,067.80 = 5,846.80/x
  3. Step 3: Cross multiply
    8,035.60x = 12,067.80 × 5,846.80
  4. Step 4: Simplify right side
    8,035.60x = 70,558,013.04
  5. Step 5: Solve for x
    x = 70,558,013.04/8,035.60
  6. Step 6: Final answer
    x = 8,780.68

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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.