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Finding the Fourth Proportional to 8,047.77, 12,069.80 and 2,204.83

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Solution

The fourth proportional to 8,047.77, 12,069.80 and 2,204.83 is: 3,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.77 : 12,069.80 = 2,204.83 : x
  2. Step 2: Convert to fraction form
    8,047.77/12,069.80 = 2,204.83/x
  3. Step 3: Cross multiply
    8,047.77x = 12,069.80 × 2,204.83
  4. Step 4: Simplify right side
    8,047.77x = 26,611,881.87
  5. Step 5: Solve for x
    x = 26,611,881.87/8,047.77
  6. Step 6: Final answer
    x = 3,306.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.