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Finding the Fourth Proportional to 10,073.24, 13,896.22 and 5,879

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Solution

The fourth proportional to 10,073.24, 13,896.22 and 5,879 is: 8,110.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.24 : 13,896.22 = 5,879 : x
  2. Step 2: Convert to fraction form
    10,073.24/13,896.22 = 5,879/x
  3. Step 3: Cross multiply
    10,073.24x = 13,896.22 × 5,879
  4. Step 4: Simplify right side
    10,073.24x = 81,695,877.38
  5. Step 5: Solve for x
    x = 81,695,877.38/10,073.24
  6. Step 6: Final answer
    x = 8,110.19

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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.