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Finding the Fourth Proportional to 11,309.38, 15,608.59 and 6,833.78

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Solution

The fourth proportional to 11,309.38, 15,608.59 and 6,833.78 is: 9,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.38 : 15,608.59 = 6,833.78 : x
  2. Step 2: Convert to fraction form
    11,309.38/15,608.59 = 6,833.78/x
  3. Step 3: Cross multiply
    11,309.38x = 15,608.59 × 6,833.78
  4. Step 4: Simplify right side
    11,309.38x = 106,665,670.17
  5. Step 5: Solve for x
    x = 106,665,670.17/11,309.38
  6. Step 6: Final answer
    x = 9,431.61

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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.