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Finding the Fourth Proportional to 8,092.01, 12,139.75 and 4,583.68

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Solution

The fourth proportional to 8,092.01, 12,139.75 and 4,583.68 is: 6,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.01 : 12,139.75 = 4,583.68 : x
  2. Step 2: Convert to fraction form
    8,092.01/12,139.75 = 4,583.68/x
  3. Step 3: Cross multiply
    8,092.01x = 12,139.75 × 4,583.68
  4. Step 4: Simplify right side
    8,092.01x = 55,644,704.66
  5. Step 5: Solve for x
    x = 55,644,704.66/8,092.01
  6. Step 6: Final answer
    x = 6,876.50

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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.