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Finding the Fourth Proportional to 8,174.57, 12,262.01 and 2,331.32

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Solution

The fourth proportional to 8,174.57, 12,262.01 and 2,331.32 is: 3,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.57 : 12,262.01 = 2,331.32 : x
  2. Step 2: Convert to fraction form
    8,174.57/12,262.01 = 2,331.32/x
  3. Step 3: Cross multiply
    8,174.57x = 12,262.01 × 2,331.32
  4. Step 4: Simplify right side
    8,174.57x = 28,586,596.19
  5. Step 5: Solve for x
    x = 28,586,596.19/8,174.57
  6. Step 6: Final answer
    x = 3,497.02

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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.