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Finding the Fourth Proportional to 8,094.36, 12,149.10 and 4,201.50

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Solution

The fourth proportional to 8,094.36, 12,149.10 and 4,201.50 is: 6,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.36 : 12,149.10 = 4,201.50 : x
  2. Step 2: Convert to fraction form
    8,094.36/12,149.10 = 4,201.50/x
  3. Step 3: Cross multiply
    8,094.36x = 12,149.10 × 4,201.50
  4. Step 4: Simplify right side
    8,094.36x = 51,044,443.65
  5. Step 5: Solve for x
    x = 51,044,443.65/8,094.36
  6. Step 6: Final answer
    x = 6,306.17

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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.