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Finding the Fourth Proportional to 8,287.80, 12,434.99 and 3,023.16

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Solution

The fourth proportional to 8,287.80, 12,434.99 and 3,023.16 is: 4,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.80 : 12,434.99 = 3,023.16 : x
  2. Step 2: Convert to fraction form
    8,287.80/12,434.99 = 3,023.16/x
  3. Step 3: Cross multiply
    8,287.80x = 12,434.99 × 3,023.16
  4. Step 4: Simplify right side
    8,287.80x = 37,592,949.25
  5. Step 5: Solve for x
    x = 37,592,949.25/8,287.80
  6. Step 6: Final answer
    x = 4,535.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.