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Finding the Fourth Proportional to 11,054.90, 15,257.22 and 6,338.28

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Solution

The fourth proportional to 11,054.90, 15,257.22 and 6,338.28 is: 8,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.90 : 15,257.22 = 6,338.28 : x
  2. Step 2: Convert to fraction form
    11,054.90/15,257.22 = 6,338.28/x
  3. Step 3: Cross multiply
    11,054.90x = 15,257.22 × 6,338.28
  4. Step 4: Simplify right side
    11,054.90x = 96,704,532.38
  5. Step 5: Solve for x
    x = 96,704,532.38/11,054.90
  6. Step 6: Final answer
    x = 8,747.66

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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.