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Finding the Fourth Proportional to 10,433.62, 14,399.02 and 5,958.82

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Solution

The fourth proportional to 10,433.62, 14,399.02 and 5,958.82 is: 8,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.62 : 14,399.02 = 5,958.82 : x
  2. Step 2: Convert to fraction form
    10,433.62/14,399.02 = 5,958.82/x
  3. Step 3: Cross multiply
    10,433.62x = 14,399.02 × 5,958.82
  4. Step 4: Simplify right side
    10,433.62x = 85,801,168.36
  5. Step 5: Solve for x
    x = 85,801,168.36/10,433.62
  6. Step 6: Final answer
    x = 8,223.53

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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.