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Finding the Fourth Proportional to 7,660.63, 11,493.68 and 3,767.77

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Solution

The fourth proportional to 7,660.63, 11,493.68 and 3,767.77 is: 5,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.63 : 11,493.68 = 3,767.77 : x
  2. Step 2: Convert to fraction form
    7,660.63/11,493.68 = 3,767.77/x
  3. Step 3: Cross multiply
    7,660.63x = 11,493.68 × 3,767.77
  4. Step 4: Simplify right side
    7,660.63x = 43,305,466.39
  5. Step 5: Solve for x
    x = 43,305,466.39/7,660.63
  6. Step 6: Final answer
    x = 5,652.99

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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.