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Finding the Fourth Proportional to 7,447.70, 11,179.65 and 4,167.20

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Solution

The fourth proportional to 7,447.70, 11,179.65 and 4,167.20 is: 6,255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.70 : 11,179.65 = 4,167.20 : x
  2. Step 2: Convert to fraction form
    7,447.70/11,179.65 = 4,167.20/x
  3. Step 3: Cross multiply
    7,447.70x = 11,179.65 × 4,167.20
  4. Step 4: Simplify right side
    7,447.70x = 46,587,837.48
  5. Step 5: Solve for x
    x = 46,587,837.48/7,447.70
  6. Step 6: Final answer
    x = 6,255.33

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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.