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Finding the Fourth Proportional to 7,447.42, 11,167.08 and 2,252.62

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Solution

The fourth proportional to 7,447.42, 11,167.08 and 2,252.62 is: 3,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.42 : 11,167.08 = 2,252.62 : x
  2. Step 2: Convert to fraction form
    7,447.42/11,167.08 = 2,252.62/x
  3. Step 3: Cross multiply
    7,447.42x = 11,167.08 × 2,252.62
  4. Step 4: Simplify right side
    7,447.42x = 25,155,187.75
  5. Step 5: Solve for x
    x = 25,155,187.75/7,447.42
  6. Step 6: Final answer
    x = 3,377.70

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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.