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Finding the Fourth Proportional to 10,433.87, 14,400.11 and 5,956.61

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Solution

The fourth proportional to 10,433.87, 14,400.11 and 5,956.61 is: 8,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.87 : 14,400.11 = 5,956.61 : x
  2. Step 2: Convert to fraction form
    10,433.87/14,400.11 = 5,956.61/x
  3. Step 3: Cross multiply
    10,433.87x = 14,400.11 × 5,956.61
  4. Step 4: Simplify right side
    10,433.87x = 85,775,782.12
  5. Step 5: Solve for x
    x = 85,775,782.12/10,433.87
  6. Step 6: Final answer
    x = 8,220.90

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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.