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Finding the Fourth Proportional to 7,766.88, 11,642.32 and 3,383.52

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Solution

The fourth proportional to 7,766.88, 11,642.32 and 3,383.52 is: 5,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.88 : 11,642.32 = 3,383.52 : x
  2. Step 2: Convert to fraction form
    7,766.88/11,642.32 = 3,383.52/x
  3. Step 3: Cross multiply
    7,766.88x = 11,642.32 × 3,383.52
  4. Step 4: Simplify right side
    7,766.88x = 39,392,022.57
  5. Step 5: Solve for x
    x = 39,392,022.57/7,766.88
  6. Step 6: Final answer
    x = 5,071.79

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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.