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Finding the Fourth Proportional to 10,433.74, 14,399.94 and 5,956.48

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Solution

The fourth proportional to 10,433.74, 14,399.94 and 5,956.48 is: 8,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.74 : 14,399.94 = 5,956.48 : x
  2. Step 2: Convert to fraction form
    10,433.74/14,399.94 = 5,956.48/x
  3. Step 3: Cross multiply
    10,433.74x = 14,399.94 × 5,956.48
  4. Step 4: Simplify right side
    10,433.74x = 85,772,954.61
  5. Step 5: Solve for x
    x = 85,772,954.61/10,433.74
  6. Step 6: Final answer
    x = 8,220.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.