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Finding the Fourth Proportional to 7,540.86, 11,308.32 and 2,274.24

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Solution

The fourth proportional to 7,540.86, 11,308.32 and 2,274.24 is: 3,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.86 : 11,308.32 = 2,274.24 : x
  2. Step 2: Convert to fraction form
    7,540.86/11,308.32 = 2,274.24/x
  3. Step 3: Cross multiply
    7,540.86x = 11,308.32 × 2,274.24
  4. Step 4: Simplify right side
    7,540.86x = 25,717,833.68
  5. Step 5: Solve for x
    x = 25,717,833.68/7,540.86
  6. Step 6: Final answer
    x = 3,410.46

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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.