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Finding the Fourth Proportional to 8,047.86, 12,069.93 and 2,204.94

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Solution

The fourth proportional to 8,047.86, 12,069.93 and 2,204.94 is: 3,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.86 : 12,069.93 = 2,204.94 : x
  2. Step 2: Convert to fraction form
    8,047.86/12,069.93 = 2,204.94/x
  3. Step 3: Cross multiply
    8,047.86x = 12,069.93 × 2,204.94
  4. Step 4: Simplify right side
    8,047.86x = 26,613,471.45
  5. Step 5: Solve for x
    x = 26,613,471.45/8,047.86
  6. Step 6: Final answer
    x = 3,306.90

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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.