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Finding the Fourth Proportional to 11,091.38, 15,306 and 6,055.56

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Solution

The fourth proportional to 11,091.38, 15,306 and 6,055.56 is: 8,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,091.38 : 15,306 = 6,055.56 : x
  2. Step 2: Convert to fraction form
    11,091.38/15,306 = 6,055.56/x
  3. Step 3: Cross multiply
    11,091.38x = 15,306 × 6,055.56
  4. Step 4: Simplify right side
    11,091.38x = 92,686,324.83
  5. Step 5: Solve for x
    x = 92,686,324.83/11,091.38
  6. Step 6: Final answer
    x = 8,356.61

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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.