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Finding the Fourth Proportional to 8,074.89, 12,039.81 and 7,766.58

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Solution

The fourth proportional to 8,074.89, 12,039.81 and 7,766.58 is: 11,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.89 : 12,039.81 = 7,766.58 : x
  2. Step 2: Convert to fraction form
    8,074.89/12,039.81 = 7,766.58/x
  3. Step 3: Cross multiply
    8,074.89x = 12,039.81 × 7,766.58
  4. Step 4: Simplify right side
    8,074.89x = 93,508,229.10
  5. Step 5: Solve for x
    x = 93,508,229.10/8,074.89
  6. Step 6: Final answer
    x = 11,580.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.