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Finding the Fourth Proportional to 7,740.32, 11,608 and 2,544.96

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Solution

The fourth proportional to 7,740.32, 11,608 and 2,544.96 is: 3,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.32 : 11,608 = 2,544.96 : x
  2. Step 2: Convert to fraction form
    7,740.32/11,608 = 2,544.96/x
  3. Step 3: Cross multiply
    7,740.32x = 11,608 × 2,544.96
  4. Step 4: Simplify right side
    7,740.32x = 29,541,895.68
  5. Step 5: Solve for x
    x = 29,541,895.68/7,740.32
  6. Step 6: Final answer
    x = 3,816.62

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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.