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Finding the Fourth Proportional to 6,327.38, 8,735.89 and 5,663.08

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Solution

The fourth proportional to 6,327.38, 8,735.89 and 5,663.08 is: 7,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.38 : 8,735.89 = 5,663.08 : x
  2. Step 2: Convert to fraction form
    6,327.38/8,735.89 = 5,663.08/x
  3. Step 3: Cross multiply
    6,327.38x = 8,735.89 × 5,663.08
  4. Step 4: Simplify right side
    6,327.38x = 49,472,043.94
  5. Step 5: Solve for x
    x = 49,472,043.94/6,327.38
  6. Step 6: Final answer
    x = 7,818.72

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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.