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Finding the Fourth Proportional to 8,766.75, 12,099.24 and 5,788.80

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Solution

The fourth proportional to 8,766.75, 12,099.24 and 5,788.80 is: 7,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766.75 : 12,099.24 = 5,788.80 : x
  2. Step 2: Convert to fraction form
    8,766.75/12,099.24 = 5,788.80/x
  3. Step 3: Cross multiply
    8,766.75x = 12,099.24 × 5,788.80
  4. Step 4: Simplify right side
    8,766.75x = 70,040,080.51
  5. Step 5: Solve for x
    x = 70,040,080.51/8,766.75
  6. Step 6: Final answer
    x = 7,989.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.