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Finding the Fourth Proportional to 10,265.88, 14,166.95 and 5,550.20

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Solution

The fourth proportional to 10,265.88, 14,166.95 and 5,550.20 is: 7,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.88 : 14,166.95 = 5,550.20 : x
  2. Step 2: Convert to fraction form
    10,265.88/14,166.95 = 5,550.20/x
  3. Step 3: Cross multiply
    10,265.88x = 14,166.95 × 5,550.20
  4. Step 4: Simplify right side
    10,265.88x = 78,629,348.93
  5. Step 5: Solve for x
    x = 78,629,348.93/10,265.88
  6. Step 6: Final answer
    x = 7,659.29

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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.