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Finding the Fourth Proportional to 7,753.65, 11,630.41 and 2,206.26

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Solution

The fourth proportional to 7,753.65, 11,630.41 and 2,206.26 is: 3,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.65 : 11,630.41 = 2,206.26 : x
  2. Step 2: Convert to fraction form
    7,753.65/11,630.41 = 2,206.26/x
  3. Step 3: Cross multiply
    7,753.65x = 11,630.41 × 2,206.26
  4. Step 4: Simplify right side
    7,753.65x = 25,659,746.46
  5. Step 5: Solve for x
    x = 25,659,746.46/7,753.65
  6. Step 6: Final answer
    x = 3,309.38

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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.