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Finding the Fourth Proportional to 7,685.79, 11,520.46 and 5,487.85

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Solution

The fourth proportional to 7,685.79, 11,520.46 and 5,487.85 is: 8,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.79 : 11,520.46 = 5,487.85 : x
  2. Step 2: Convert to fraction form
    7,685.79/11,520.46 = 5,487.85/x
  3. Step 3: Cross multiply
    7,685.79x = 11,520.46 × 5,487.85
  4. Step 4: Simplify right side
    7,685.79x = 63,222,556.41
  5. Step 5: Solve for x
    x = 63,222,556.41/7,685.79
  6. Step 6: Final answer
    x = 8,225.90

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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.