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Finding the Fourth Proportional to 8,338.08, 11,493.20 and 5,648.48

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Solution

The fourth proportional to 8,338.08, 11,493.20 and 5,648.48 is: 7,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.08 : 11,493.20 = 5,648.48 : x
  2. Step 2: Convert to fraction form
    8,338.08/11,493.20 = 5,648.48/x
  3. Step 3: Cross multiply
    8,338.08x = 11,493.20 × 5,648.48
  4. Step 4: Simplify right side
    8,338.08x = 64,919,110.34
  5. Step 5: Solve for x
    x = 64,919,110.34/8,338.08
  6. Step 6: Final answer
    x = 7,785.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.