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Finding the Fourth Proportional to 11,146.78, 15,377.61 and 7,166.38

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Solution

The fourth proportional to 11,146.78, 15,377.61 and 7,166.38 is: 9,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.78 : 15,377.61 = 7,166.38 : x
  2. Step 2: Convert to fraction form
    11,146.78/15,377.61 = 7,166.38/x
  3. Step 3: Cross multiply
    11,146.78x = 15,377.61 × 7,166.38
  4. Step 4: Simplify right side
    11,146.78x = 110,201,796.75
  5. Step 5: Solve for x
    x = 110,201,796.75/11,146.78
  6. Step 6: Final answer
    x = 9,886.42

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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.