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Finding the Fourth Proportional to 10,006.38, 13,808.82 and 6,027.66

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Solution

The fourth proportional to 10,006.38, 13,808.82 and 6,027.66 is: 8,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.38 : 13,808.82 = 6,027.66 : x
  2. Step 2: Convert to fraction form
    10,006.38/13,808.82 = 6,027.66/x
  3. Step 3: Cross multiply
    10,006.38x = 13,808.82 × 6,027.66
  4. Step 4: Simplify right side
    10,006.38x = 83,234,871.96
  5. Step 5: Solve for x
    x = 83,234,871.96/10,006.38
  6. Step 6: Final answer
    x = 8,318.18

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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.