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Finding the Fourth Proportional to 8,233.72, 11,363.70 and 5,248.60

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Solution

The fourth proportional to 8,233.72, 11,363.70 and 5,248.60 is: 7,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.72 : 11,363.70 = 5,248.60 : x
  2. Step 2: Convert to fraction form
    8,233.72/11,363.70 = 5,248.60/x
  3. Step 3: Cross multiply
    8,233.72x = 11,363.70 × 5,248.60
  4. Step 4: Simplify right side
    8,233.72x = 59,643,515.82
  5. Step 5: Solve for x
    x = 59,643,515.82/8,233.72
  6. Step 6: Final answer
    x = 7,243.81

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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.