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Finding the Fourth Proportional to 8,051.87, 12,081.67 and 4,156.28

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Solution

The fourth proportional to 8,051.87, 12,081.67 and 4,156.28 is: 6,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.87 : 12,081.67 = 4,156.28 : x
  2. Step 2: Convert to fraction form
    8,051.87/12,081.67 = 4,156.28/x
  3. Step 3: Cross multiply
    8,051.87x = 12,081.67 × 4,156.28
  4. Step 4: Simplify right side
    8,051.87x = 50,214,722.20
  5. Step 5: Solve for x
    x = 50,214,722.20/8,051.87
  6. Step 6: Final answer
    x = 6,236.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.