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Finding the Fourth Proportional to 8,093.93, 12,140.82 and 3,167.01

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Solution

The fourth proportional to 8,093.93, 12,140.82 and 3,167.01 is: 4,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.93 : 12,140.82 = 3,167.01 : x
  2. Step 2: Convert to fraction form
    8,093.93/12,140.82 = 3,167.01/x
  3. Step 3: Cross multiply
    8,093.93x = 12,140.82 × 3,167.01
  4. Step 4: Simplify right side
    8,093.93x = 38,450,098.35
  5. Step 5: Solve for x
    x = 38,450,098.35/8,093.93
  6. Step 6: Final answer
    x = 4,750.49

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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.