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Finding the Fourth Proportional to 8,320.37, 12,480.31 and 2,164.37

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Solution

The fourth proportional to 8,320.37, 12,480.31 and 2,164.37 is: 3,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.37 : 12,480.31 = 2,164.37 : x
  2. Step 2: Convert to fraction form
    8,320.37/12,480.31 = 2,164.37/x
  3. Step 3: Cross multiply
    8,320.37x = 12,480.31 × 2,164.37
  4. Step 4: Simplify right side
    8,320.37x = 27,011,940.74
  5. Step 5: Solve for x
    x = 27,011,940.74/8,320.37
  6. Step 6: Final answer
    x = 3,246.49

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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.