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Finding the Fourth Proportional to 8,305.38, 11,463.65 and 5,615.37

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Solution

The fourth proportional to 8,305.38, 11,463.65 and 5,615.37 is: 7,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.38 : 11,463.65 = 5,615.37 : x
  2. Step 2: Convert to fraction form
    8,305.38/11,463.65 = 5,615.37/x
  3. Step 3: Cross multiply
    8,305.38x = 11,463.65 × 5,615.37
  4. Step 4: Simplify right side
    8,305.38x = 64,372,650.34
  5. Step 5: Solve for x
    x = 64,372,650.34/8,305.38
  6. Step 6: Final answer
    x = 7,750.72

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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.