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Finding the Fourth Proportional to 10,612.38, 14,645.01 and 5,832.37

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Solution

The fourth proportional to 10,612.38, 14,645.01 and 5,832.37 is: 8,048.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.38 : 14,645.01 = 5,832.37 : x
  2. Step 2: Convert to fraction form
    10,612.38/14,645.01 = 5,832.37/x
  3. Step 3: Cross multiply
    10,612.38x = 14,645.01 × 5,832.37
  4. Step 4: Simplify right side
    10,612.38x = 85,415,157.15
  5. Step 5: Solve for x
    x = 85,415,157.15/10,612.38
  6. Step 6: Final answer
    x = 8,048.63

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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.