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Finding the Fourth Proportional to 8,047.48, 12,071.21 and 2,204.55

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Solution

The fourth proportional to 8,047.48, 12,071.21 and 2,204.55 is: 3,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.48 : 12,071.21 = 2,204.55 : x
  2. Step 2: Convert to fraction form
    8,047.48/12,071.21 = 2,204.55/x
  3. Step 3: Cross multiply
    8,047.48x = 12,071.21 × 2,204.55
  4. Step 4: Simplify right side
    8,047.48x = 26,611,586.01
  5. Step 5: Solve for x
    x = 26,611,586.01/8,047.48
  6. Step 6: Final answer
    x = 3,306.82

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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.