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Finding the Fourth Proportional to 7,682.16, 11,522.84 and 3,785.25

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Solution

The fourth proportional to 7,682.16, 11,522.84 and 3,785.25 is: 5,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.16 : 11,522.84 = 3,785.25 : x
  2. Step 2: Convert to fraction form
    7,682.16/11,522.84 = 3,785.25/x
  3. Step 3: Cross multiply
    7,682.16x = 11,522.84 × 3,785.25
  4. Step 4: Simplify right side
    7,682.16x = 43,616,811.18
  5. Step 5: Solve for x
    x = 43,616,811.18/7,682.16
  6. Step 6: Final answer
    x = 5,677.68

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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.