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Finding the Fourth Proportional to 11,132.38, 15,362.86 and 6,096.52

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Solution

The fourth proportional to 11,132.38, 15,362.86 and 6,096.52 is: 8,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.38 : 15,362.86 = 6,096.52 : x
  2. Step 2: Convert to fraction form
    11,132.38/15,362.86 = 6,096.52/x
  3. Step 3: Cross multiply
    11,132.38x = 15,362.86 × 6,096.52
  4. Step 4: Simplify right side
    11,132.38x = 93,659,983.25
  5. Step 5: Solve for x
    x = 93,659,983.25/11,132.38
  6. Step 6: Final answer
    x = 8,413.29

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Why These Related Problems?

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