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Finding the Fourth Proportional to 11,309.80, 15,615.61 and 7,541.85

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Solution

The fourth proportional to 11,309.80, 15,615.61 and 7,541.85 is: 10,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.80 : 15,615.61 = 7,541.85 : x
  2. Step 2: Convert to fraction form
    11,309.80/15,615.61 = 7,541.85/x
  3. Step 3: Cross multiply
    11,309.80x = 15,615.61 × 7,541.85
  4. Step 4: Simplify right side
    11,309.80x = 117,770,588.28
  5. Step 5: Solve for x
    x = 117,770,588.28/11,309.80
  6. Step 6: Final answer
    x = 10,413.15

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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.