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Finding the Fourth Proportional to 8,014.10, 12,022.28 and 2,467.89

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Solution

The fourth proportional to 8,014.10, 12,022.28 and 2,467.89 is: 3,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.10 : 12,022.28 = 2,467.89 : x
  2. Step 2: Convert to fraction form
    8,014.10/12,022.28 = 2,467.89/x
  3. Step 3: Cross multiply
    8,014.10x = 12,022.28 × 2,467.89
  4. Step 4: Simplify right side
    8,014.10x = 29,669,661.50
  5. Step 5: Solve for x
    x = 29,669,661.50/8,014.10
  6. Step 6: Final answer
    x = 3,702.18

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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.