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Finding the Fourth Proportional to 10,777.38, 14,874.03 and 5,999.10

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Solution

The fourth proportional to 10,777.38, 14,874.03 and 5,999.10 is: 8,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.38 : 14,874.03 = 5,999.10 : x
  2. Step 2: Convert to fraction form
    10,777.38/14,874.03 = 5,999.10/x
  3. Step 3: Cross multiply
    10,777.38x = 14,874.03 × 5,999.10
  4. Step 4: Simplify right side
    10,777.38x = 89,230,793.37
  5. Step 5: Solve for x
    x = 89,230,793.37/10,777.38
  6. Step 6: Final answer
    x = 8,279.45

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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.