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Finding the Fourth Proportional to 7,682.46, 11,523.91 and 4,174.15

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Solution

The fourth proportional to 7,682.46, 11,523.91 and 4,174.15 is: 6,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.46 : 11,523.91 = 4,174.15 : x
  2. Step 2: Convert to fraction form
    7,682.46/11,523.91 = 4,174.15/x
  3. Step 3: Cross multiply
    7,682.46x = 11,523.91 × 4,174.15
  4. Step 4: Simplify right side
    7,682.46x = 48,102,528.93
  5. Step 5: Solve for x
    x = 48,102,528.93/7,682.46
  6. Step 6: Final answer
    x = 6,261.34

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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.