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Finding the Fourth Proportional to 7,682.52, 11,523.90 and 5,066.78

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Solution

The fourth proportional to 7,682.52, 11,523.90 and 5,066.78 is: 7,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.52 : 11,523.90 = 5,066.78 : x
  2. Step 2: Convert to fraction form
    7,682.52/11,523.90 = 5,066.78/x
  3. Step 3: Cross multiply
    7,682.52x = 11,523.90 × 5,066.78
  4. Step 4: Simplify right side
    7,682.52x = 58,389,017.08
  5. Step 5: Solve for x
    x = 58,389,017.08/7,682.52
  6. Step 6: Final answer
    x = 7,600.24

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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.