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Finding the Fourth Proportional to 7,641.18, 11,463.72 and 2,447.04

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Solution

The fourth proportional to 7,641.18, 11,463.72 and 2,447.04 is: 3,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.18 : 11,463.72 = 2,447.04 : x
  2. Step 2: Convert to fraction form
    7,641.18/11,463.72 = 2,447.04/x
  3. Step 3: Cross multiply
    7,641.18x = 11,463.72 × 2,447.04
  4. Step 4: Simplify right side
    7,641.18x = 28,052,181.39
  5. Step 5: Solve for x
    x = 28,052,181.39/7,641.18
  6. Step 6: Final answer
    x = 3,671.18

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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.