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Finding the Fourth Proportional to 8,233.48, 11,363.97 and 5,248.63

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Solution

The fourth proportional to 8,233.48, 11,363.97 and 5,248.63 is: 7,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.48 : 11,363.97 = 5,248.63 : x
  2. Step 2: Convert to fraction form
    8,233.48/11,363.97 = 5,248.63/x
  3. Step 3: Cross multiply
    8,233.48x = 11,363.97 × 5,248.63
  4. Step 4: Simplify right side
    8,233.48x = 59,645,273.86
  5. Step 5: Solve for x
    x = 59,645,273.86/8,233.48
  6. Step 6: Final answer
    x = 7,244.24

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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.