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Finding the Fourth Proportional to 7,768.15, 11,652.24 and 2,221.84

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Solution

The fourth proportional to 7,768.15, 11,652.24 and 2,221.84 is: 3,332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.15 : 11,652.24 = 2,221.84 : x
  2. Step 2: Convert to fraction form
    7,768.15/11,652.24 = 2,221.84/x
  3. Step 3: Cross multiply
    7,768.15x = 11,652.24 × 2,221.84
  4. Step 4: Simplify right side
    7,768.15x = 25,889,412.92
  5. Step 5: Solve for x
    x = 25,889,412.92/7,768.15
  6. Step 6: Final answer
    x = 3,332.76

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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.