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Finding the Fourth Proportional to 7,447.60, 11,167.74 and 3,695.02

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Solution

The fourth proportional to 7,447.60, 11,167.74 and 3,695.02 is: 5,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.60 : 11,167.74 = 3,695.02 : x
  2. Step 2: Convert to fraction form
    7,447.60/11,167.74 = 3,695.02/x
  3. Step 3: Cross multiply
    7,447.60x = 11,167.74 × 3,695.02
  4. Step 4: Simplify right side
    7,447.60x = 41,265,022.65
  5. Step 5: Solve for x
    x = 41,265,022.65/7,447.60
  6. Step 6: Final answer
    x = 5,540.71

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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.