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Finding the Fourth Proportional to 8,267.72, 12,398.00 and 3,000.98

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Solution

The fourth proportional to 8,267.72, 12,398.00 and 3,000.98 is: 4,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.72 : 12,398.00 = 3,000.98 : x
  2. Step 2: Convert to fraction form
    8,267.72/12,398.00 = 3,000.98/x
  3. Step 3: Cross multiply
    8,267.72x = 12,398.00 × 3,000.98
  4. Step 4: Simplify right side
    8,267.72x = 37,206,189.03
  5. Step 5: Solve for x
    x = 37,206,189.03/8,267.72
  6. Step 6: Final answer
    x = 4,500.17

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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.