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Finding the Fourth Proportional to 7,768.52, 11,652.56 and 2,221.74

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Solution

The fourth proportional to 7,768.52, 11,652.56 and 2,221.74 is: 3,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.52 : 11,652.56 = 2,221.74 : x
  2. Step 2: Convert to fraction form
    7,768.52/11,652.56 = 2,221.74/x
  3. Step 3: Cross multiply
    7,768.52x = 11,652.56 × 2,221.74
  4. Step 4: Simplify right side
    7,768.52x = 25,888,947.55
  5. Step 5: Solve for x
    x = 25,888,947.55/7,768.52
  6. Step 6: Final answer
    x = 3,332.55

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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.