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Finding the Fourth Proportional to 7,753.72, 11,628.84 and 2,206.94

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Solution

The fourth proportional to 7,753.72, 11,628.84 and 2,206.94 is: 3,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.72 : 11,628.84 = 2,206.94 : x
  2. Step 2: Convert to fraction form
    7,753.72/11,628.84 = 2,206.94/x
  3. Step 3: Cross multiply
    7,753.72x = 11,628.84 × 2,206.94
  4. Step 4: Simplify right side
    7,753.72x = 25,664,152.15
  5. Step 5: Solve for x
    x = 25,664,152.15/7,753.72
  6. Step 6: Final answer
    x = 3,309.91

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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.