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Finding the Fourth Proportional to 8,114.72, 11,191.82 and 5,596.25

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Solution

The fourth proportional to 8,114.72, 11,191.82 and 5,596.25 is: 7,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.72 : 11,191.82 = 5,596.25 : x
  2. Step 2: Convert to fraction form
    8,114.72/11,191.82 = 5,596.25/x
  3. Step 3: Cross multiply
    8,114.72x = 11,191.82 × 5,596.25
  4. Step 4: Simplify right side
    8,114.72x = 62,632,138.73
  5. Step 5: Solve for x
    x = 62,632,138.73/8,114.72
  6. Step 6: Final answer
    x = 7,718.34

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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.