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Finding the Fourth Proportional to 7,617.28, 11,424.32 and 2,144

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Solution

The fourth proportional to 7,617.28, 11,424.32 and 2,144 is: 3,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.28 : 11,424.32 = 2,144 : x
  2. Step 2: Convert to fraction form
    7,617.28/11,424.32 = 2,144/x
  3. Step 3: Cross multiply
    7,617.28x = 11,424.32 × 2,144
  4. Step 4: Simplify right side
    7,617.28x = 24,493,742.08
  5. Step 5: Solve for x
    x = 24,493,742.08/7,617.28
  6. Step 6: Final answer
    x = 3,215.55

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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.