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Finding the Fourth Proportional to 8,233.34, 12,350.12 and 2,686.64

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Solution

The fourth proportional to 8,233.34, 12,350.12 and 2,686.64 is: 4,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.34 : 12,350.12 = 2,686.64 : x
  2. Step 2: Convert to fraction form
    8,233.34/12,350.12 = 2,686.64/x
  3. Step 3: Cross multiply
    8,233.34x = 12,350.12 × 2,686.64
  4. Step 4: Simplify right side
    8,233.34x = 33,180,251.21
  5. Step 5: Solve for x
    x = 33,180,251.21/8,233.34
  6. Step 6: Final answer
    x = 4,029.99

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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.