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Finding the Fourth Proportional to 8,002.34, 12,003.50 and 2,158.94

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Solution

The fourth proportional to 8,002.34, 12,003.50 and 2,158.94 is: 3,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.34 : 12,003.50 = 2,158.94 : x
  2. Step 2: Convert to fraction form
    8,002.34/12,003.50 = 2,158.94/x
  3. Step 3: Cross multiply
    8,002.34x = 12,003.50 × 2,158.94
  4. Step 4: Simplify right side
    8,002.34x = 25,914,765.48
  5. Step 5: Solve for x
    x = 25,914,765.48/8,002.34
  6. Step 6: Final answer
    x = 3,238.40

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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.