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Finding the Fourth Proportional to 8,102.80, 12,127.20 and 5,875.30

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Solution

The fourth proportional to 8,102.80, 12,127.20 and 5,875.30 is: 8,793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.80 : 12,127.20 = 5,875.30 : x
  2. Step 2: Convert to fraction form
    8,102.80/12,127.20 = 5,875.30/x
  3. Step 3: Cross multiply
    8,102.80x = 12,127.20 × 5,875.30
  4. Step 4: Simplify right side
    8,102.80x = 71,250,938.16
  5. Step 5: Solve for x
    x = 71,250,938.16/8,102.80
  6. Step 6: Final answer
    x = 8,793.37

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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.