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Finding the Fourth Proportional to 10,108.39, 13,948.97 and 5,859.11

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Solution

The fourth proportional to 10,108.39, 13,948.97 and 5,859.11 is: 8,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.39 : 13,948.97 = 5,859.11 : x
  2. Step 2: Convert to fraction form
    10,108.39/13,948.97 = 5,859.11/x
  3. Step 3: Cross multiply
    10,108.39x = 13,948.97 × 5,859.11
  4. Step 4: Simplify right side
    10,108.39x = 81,728,616.01
  5. Step 5: Solve for x
    x = 81,728,616.01/10,108.39
  6. Step 6: Final answer
    x = 8,085.23

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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.