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Finding the Fourth Proportional to 7,724.75, 11,487.75 and 7,478.72

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Solution

The fourth proportional to 7,724.75, 11,487.75 and 7,478.72 is: 11,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.75 : 11,487.75 = 7,478.72 : x
  2. Step 2: Convert to fraction form
    7,724.75/11,487.75 = 7,478.72/x
  3. Step 3: Cross multiply
    7,724.75x = 11,487.75 × 7,478.72
  4. Step 4: Simplify right side
    7,724.75x = 85,913,608.24
  5. Step 5: Solve for x
    x = 85,913,608.24/7,724.75
  6. Step 6: Final answer
    x = 11,121.86

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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.