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Finding the Fourth Proportional to 8,174.87, 12,269.98 and 4,017.88

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Solution

The fourth proportional to 8,174.87, 12,269.98 and 4,017.88 is: 6,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.87 : 12,269.98 = 4,017.88 : x
  2. Step 2: Convert to fraction form
    8,174.87/12,269.98 = 4,017.88/x
  3. Step 3: Cross multiply
    8,174.87x = 12,269.98 × 4,017.88
  4. Step 4: Simplify right side
    8,174.87x = 49,299,293.09
  5. Step 5: Solve for x
    x = 49,299,293.09/8,174.87
  6. Step 6: Final answer
    x = 6,030.59

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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.