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Finding the Fourth Proportional to 7,641.28, 11,462.88 and 2,447.68

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Solution

The fourth proportional to 7,641.28, 11,462.88 and 2,447.68 is: 3,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.28 : 11,462.88 = 2,447.68 : x
  2. Step 2: Convert to fraction form
    7,641.28/11,462.88 = 2,447.68/x
  3. Step 3: Cross multiply
    7,641.28x = 11,462.88 × 2,447.68
  4. Step 4: Simplify right side
    7,641.28x = 28,057,462.12
  5. Step 5: Solve for x
    x = 28,057,462.12/7,641.28
  6. Step 6: Final answer
    x = 3,671.83

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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.