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Finding the Fourth Proportional to 8,140.52, 12,210.80 and 1,984.52

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Solution

The fourth proportional to 8,140.52, 12,210.80 and 1,984.52 is: 2,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.52 : 12,210.80 = 1,984.52 : x
  2. Step 2: Convert to fraction form
    8,140.52/12,210.80 = 1,984.52/x
  3. Step 3: Cross multiply
    8,140.52x = 12,210.80 × 1,984.52
  4. Step 4: Simplify right side
    8,140.52x = 24,232,576.82
  5. Step 5: Solve for x
    x = 24,232,576.82/8,140.52
  6. Step 6: Final answer
    x = 2,976.78

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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.