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Finding the Fourth Proportional to 8,201.70, 12,301.23 and 2,356.98

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Solution

The fourth proportional to 8,201.70, 12,301.23 and 2,356.98 is: 3,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.70 : 12,301.23 = 2,356.98 : x
  2. Step 2: Convert to fraction form
    8,201.70/12,301.23 = 2,356.98/x
  3. Step 3: Cross multiply
    8,201.70x = 12,301.23 × 2,356.98
  4. Step 4: Simplify right side
    8,201.70x = 28,993,753.09
  5. Step 5: Solve for x
    x = 28,993,753.09/8,201.70
  6. Step 6: Final answer
    x = 3,535.09

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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.