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Finding the Fourth Proportional to 11,251.38, 15,533.56 and 7,719.78

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Solution

The fourth proportional to 11,251.38, 15,533.56 and 7,719.78 is: 10,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.38 : 15,533.56 = 7,719.78 : x
  2. Step 2: Convert to fraction form
    11,251.38/15,533.56 = 7,719.78/x
  3. Step 3: Cross multiply
    11,251.38x = 15,533.56 × 7,719.78
  4. Step 4: Simplify right side
    11,251.38x = 119,915,665.82
  5. Step 5: Solve for x
    x = 119,915,665.82/11,251.38
  6. Step 6: Final answer
    x = 10,657.86

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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.