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Finding the Fourth Proportional to 8,047.74, 12,071.09 and 2,782.61

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Solution

The fourth proportional to 8,047.74, 12,071.09 and 2,782.61 is: 4,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.74 : 12,071.09 = 2,782.61 : x
  2. Step 2: Convert to fraction form
    8,047.74/12,071.09 = 2,782.61/x
  3. Step 3: Cross multiply
    8,047.74x = 12,071.09 × 2,782.61
  4. Step 4: Simplify right side
    8,047.74x = 33,589,082.35
  5. Step 5: Solve for x
    x = 33,589,082.35/8,047.74
  6. Step 6: Final answer
    x = 4,173.73

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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.