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Finding the Fourth Proportional to 8,047.94, 12,071.93 and 2,204.54

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Solution

The fourth proportional to 8,047.94, 12,071.93 and 2,204.54 is: 3,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.94 : 12,071.93 = 2,204.54 : x
  2. Step 2: Convert to fraction form
    8,047.94/12,071.93 = 2,204.54/x
  3. Step 3: Cross multiply
    8,047.94x = 12,071.93 × 2,204.54
  4. Step 4: Simplify right side
    8,047.94x = 26,612,981.18
  5. Step 5: Solve for x
    x = 26,612,981.18/8,047.94
  6. Step 6: Final answer
    x = 3,306.81

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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.