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Finding the Fourth Proportional to 7,751.89, 11,628.36 and 2,205.66

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Solution

The fourth proportional to 7,751.89, 11,628.36 and 2,205.66 is: 3,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.89 : 11,628.36 = 2,205.66 : x
  2. Step 2: Convert to fraction form
    7,751.89/11,628.36 = 2,205.66/x
  3. Step 3: Cross multiply
    7,751.89x = 11,628.36 × 2,205.66
  4. Step 4: Simplify right side
    7,751.89x = 25,648,252.12
  5. Step 5: Solve for x
    x = 25,648,252.12/7,751.89
  6. Step 6: Final answer
    x = 3,308.65

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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.