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Finding the Fourth Proportional to 10,663.20, 14,714.91 and 5,947.38

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Solution

The fourth proportional to 10,663.20, 14,714.91 and 5,947.38 is: 8,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.20 : 14,714.91 = 5,947.38 : x
  2. Step 2: Convert to fraction form
    10,663.20/14,714.91 = 5,947.38/x
  3. Step 3: Cross multiply
    10,663.20x = 14,714.91 × 5,947.38
  4. Step 4: Simplify right side
    10,663.20x = 87,515,161.44
  5. Step 5: Solve for x
    x = 87,515,161.44/10,663.20
  6. Step 6: Final answer
    x = 8,207.21

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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.