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Finding the Fourth Proportional to 10,705.38, 14,773.42 and 5,990.77

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Solution

The fourth proportional to 10,705.38, 14,773.42 and 5,990.77 is: 8,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.38 : 14,773.42 = 5,990.77 : x
  2. Step 2: Convert to fraction form
    10,705.38/14,773.42 = 5,990.77/x
  3. Step 3: Cross multiply
    10,705.38x = 14,773.42 × 5,990.77
  4. Step 4: Simplify right side
    10,705.38x = 88,504,161.33
  5. Step 5: Solve for x
    x = 88,504,161.33/10,705.38
  6. Step 6: Final answer
    x = 8,267.26

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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.