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Finding the Fourth Proportional to 8,051.83, 12,076.34 and 2,128.77

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Solution

The fourth proportional to 8,051.83, 12,076.34 and 2,128.77 is: 3,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.83 : 12,076.34 = 2,128.77 : x
  2. Step 2: Convert to fraction form
    8,051.83/12,076.34 = 2,128.77/x
  3. Step 3: Cross multiply
    8,051.83x = 12,076.34 × 2,128.77
  4. Step 4: Simplify right side
    8,051.83x = 25,707,769.85
  5. Step 5: Solve for x
    x = 25,707,769.85/8,051.83
  6. Step 6: Final answer
    x = 3,192.79

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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.