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Finding the Fourth Proportional to 8,122.80, 11,209.32 and 4,585.76

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Solution

The fourth proportional to 8,122.80, 11,209.32 and 4,585.76 is: 6,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.80 : 11,209.32 = 4,585.76 : x
  2. Step 2: Convert to fraction form
    8,122.80/11,209.32 = 4,585.76/x
  3. Step 3: Cross multiply
    8,122.80x = 11,209.32 × 4,585.76
  4. Step 4: Simplify right side
    8,122.80x = 51,403,251.28
  5. Step 5: Solve for x
    x = 51,403,251.28/8,122.80
  6. Step 6: Final answer
    x = 6,328.27

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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.