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Finding the Fourth Proportional to 10,401.75, 14,350.91 and 5,922.33

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Solution

The fourth proportional to 10,401.75, 14,350.91 and 5,922.33 is: 8,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.75 : 14,350.91 = 5,922.33 : x
  2. Step 2: Convert to fraction form
    10,401.75/14,350.91 = 5,922.33/x
  3. Step 3: Cross multiply
    10,401.75x = 14,350.91 × 5,922.33
  4. Step 4: Simplify right side
    10,401.75x = 84,990,767.82
  5. Step 5: Solve for x
    x = 84,990,767.82/10,401.75
  6. Step 6: Final answer
    x = 8,170.82

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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.