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Finding the Fourth Proportional to 8,082.62, 11,148.05 and 5,565.54

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Solution

The fourth proportional to 8,082.62, 11,148.05 and 5,565.54 is: 7,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.62 : 11,148.05 = 5,565.54 : x
  2. Step 2: Convert to fraction form
    8,082.62/11,148.05 = 5,565.54/x
  3. Step 3: Cross multiply
    8,082.62x = 11,148.05 × 5,565.54
  4. Step 4: Simplify right side
    8,082.62x = 62,044,996.92
  5. Step 5: Solve for x
    x = 62,044,996.92/8,082.62
  6. Step 6: Final answer
    x = 7,676.34

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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.