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Finding the Fourth Proportional to 7,766.89, 10,773.22 and 7,486.68

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Solution

The fourth proportional to 7,766.89, 10,773.22 and 7,486.68 is: 10,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.89 : 10,773.22 = 7,486.68 : x
  2. Step 2: Convert to fraction form
    7,766.89/10,773.22 = 7,486.68/x
  3. Step 3: Cross multiply
    7,766.89x = 10,773.22 × 7,486.68
  4. Step 4: Simplify right side
    7,766.89x = 80,655,594.25
  5. Step 5: Solve for x
    x = 80,655,594.25/7,766.89
  6. Step 6: Final answer
    x = 10,384.55

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.