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Finding the Fourth Proportional to 7,764.48, 11,648.54 and 2,217.90

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Solution

The fourth proportional to 7,764.48, 11,648.54 and 2,217.90 is: 3,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.48 : 11,648.54 = 2,217.90 : x
  2. Step 2: Convert to fraction form
    7,764.48/11,648.54 = 2,217.90/x
  3. Step 3: Cross multiply
    7,764.48x = 11,648.54 × 2,217.90
  4. Step 4: Simplify right side
    7,764.48x = 25,835,296.87
  5. Step 5: Solve for x
    x = 25,835,296.87/7,764.48
  6. Step 6: Final answer
    x = 3,327.37

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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.