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Finding the Fourth Proportional to 10,876.01, 15,018.04 and 8,182.56

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Solution

The fourth proportional to 10,876.01, 15,018.04 and 8,182.56 is: 11,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.01 : 15,018.04 = 8,182.56 : x
  2. Step 2: Convert to fraction form
    10,876.01/15,018.04 = 8,182.56/x
  3. Step 3: Cross multiply
    10,876.01x = 15,018.04 × 8,182.56
  4. Step 4: Simplify right side
    10,876.01x = 122,886,013.38
  5. Step 5: Solve for x
    x = 122,886,013.38/10,876.01
  6. Step 6: Final answer
    x = 11,298.81

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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.