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Finding the Fourth Proportional to 8,051.96, 12,079.76 and 2,857.84

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Solution

The fourth proportional to 8,051.96, 12,079.76 and 2,857.84 is: 4,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.96 : 12,079.76 = 2,857.84 : x
  2. Step 2: Convert to fraction form
    8,051.96/12,079.76 = 2,857.84/x
  3. Step 3: Cross multiply
    8,051.96x = 12,079.76 × 2,857.84
  4. Step 4: Simplify right side
    8,051.96x = 34,522,021.32
  5. Step 5: Solve for x
    x = 34,522,021.32/8,051.96
  6. Step 6: Final answer
    x = 4,287.41

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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.