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Finding the Fourth Proportional to 10,876.72, 15,009.42 and 6,161.26

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Solution

The fourth proportional to 10,876.72, 15,009.42 and 6,161.26 is: 8,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.72 : 15,009.42 = 6,161.26 : x
  2. Step 2: Convert to fraction form
    10,876.72/15,009.42 = 6,161.26/x
  3. Step 3: Cross multiply
    10,876.72x = 15,009.42 × 6,161.26
  4. Step 4: Simplify right side
    10,876.72x = 92,476,939.07
  5. Step 5: Solve for x
    x = 92,476,939.07/10,876.72
  6. Step 6: Final answer
    x = 8,502.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.