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Finding the Fourth Proportional to 7,764.58, 11,648.67 and 2,218

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Solution

The fourth proportional to 7,764.58, 11,648.67 and 2,218 is: 3,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.58 : 11,648.67 = 2,218 : x
  2. Step 2: Convert to fraction form
    7,764.58/11,648.67 = 2,218/x
  3. Step 3: Cross multiply
    7,764.58x = 11,648.67 × 2,218
  4. Step 4: Simplify right side
    7,764.58x = 25,836,750.06
  5. Step 5: Solve for x
    x = 25,836,750.06/7,764.58
  6. Step 6: Final answer
    x = 3,327.51

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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.