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Finding the Fourth Proportional to 8,122.52, 11,209.07 and 4,585.73

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Solution

The fourth proportional to 8,122.52, 11,209.07 and 4,585.73 is: 6,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.52 : 11,209.07 = 4,585.73 : x
  2. Step 2: Convert to fraction form
    8,122.52/11,209.07 = 4,585.73/x
  3. Step 3: Cross multiply
    8,122.52x = 11,209.07 × 4,585.73
  4. Step 4: Simplify right side
    8,122.52x = 51,401,768.57
  5. Step 5: Solve for x
    x = 51,401,768.57/8,122.52
  6. Step 6: Final answer
    x = 6,328.30

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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.