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Finding the Fourth Proportional to 11,299.55, 15,593.04 and 6,821.66

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Solution

The fourth proportional to 11,299.55, 15,593.04 and 6,821.66 is: 9,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.55 : 15,593.04 = 6,821.66 : x
  2. Step 2: Convert to fraction form
    11,299.55/15,593.04 = 6,821.66/x
  3. Step 3: Cross multiply
    11,299.55x = 15,593.04 × 6,821.66
  4. Step 4: Simplify right side
    11,299.55x = 106,370,456.23
  5. Step 5: Solve for x
    x = 106,370,456.23/11,299.55
  6. Step 6: Final answer
    x = 9,413.69

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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.