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Finding the Fourth Proportional to 10,205.38, 14,083.41 and 5,956.62

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Solution

The fourth proportional to 10,205.38, 14,083.41 and 5,956.62 is: 8,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.38 : 14,083.41 = 5,956.62 : x
  2. Step 2: Convert to fraction form
    10,205.38/14,083.41 = 5,956.62/x
  3. Step 3: Cross multiply
    10,205.38x = 14,083.41 × 5,956.62
  4. Step 4: Simplify right side
    10,205.38x = 83,889,521.67
  5. Step 5: Solve for x
    x = 83,889,521.67/10,205.38
  6. Step 6: Final answer
    x = 8,220.13

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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.