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Finding the Fourth Proportional to 8,034.83, 12,051.03 and 2,191.90

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Solution

The fourth proportional to 8,034.83, 12,051.03 and 2,191.90 is: 3,287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.83 : 12,051.03 = 2,191.90 : x
  2. Step 2: Convert to fraction form
    8,034.83/12,051.03 = 2,191.90/x
  3. Step 3: Cross multiply
    8,034.83x = 12,051.03 × 2,191.90
  4. Step 4: Simplify right side
    8,034.83x = 26,414,652.66
  5. Step 5: Solve for x
    x = 26,414,652.66/8,034.83
  6. Step 6: Final answer
    x = 3,287.52

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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.