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Finding the Fourth Proportional to 8,227.72, 11,353.62 and 4,690.36

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Solution

The fourth proportional to 8,227.72, 11,353.62 and 4,690.36 is: 6,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.72 : 11,353.62 = 4,690.36 : x
  2. Step 2: Convert to fraction form
    8,227.72/11,353.62 = 4,690.36/x
  3. Step 3: Cross multiply
    8,227.72x = 11,353.62 × 4,690.36
  4. Step 4: Simplify right side
    8,227.72x = 53,252,565.10
  5. Step 5: Solve for x
    x = 53,252,565.10/8,227.72
  6. Step 6: Final answer
    x = 6,472.34

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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.