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Finding the Fourth Proportional to 7,744.16, 11,624.28 and 3,851.44

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Solution

The fourth proportional to 7,744.16, 11,624.28 and 3,851.44 is: 5,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.16 : 11,624.28 = 3,851.44 : x
  2. Step 2: Convert to fraction form
    7,744.16/11,624.28 = 3,851.44/x
  3. Step 3: Cross multiply
    7,744.16x = 11,624.28 × 3,851.44
  4. Step 4: Simplify right side
    7,744.16x = 44,770,216.96
  5. Step 5: Solve for x
    x = 44,770,216.96/7,744.16
  6. Step 6: Final answer
    x = 5,781.16

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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.