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Finding the Fourth Proportional to 7,682.90, 11,524.58 and 4,174.59

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Solution

The fourth proportional to 7,682.90, 11,524.58 and 4,174.59 is: 6,262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.90 : 11,524.58 = 4,174.59 : x
  2. Step 2: Convert to fraction form
    7,682.90/11,524.58 = 4,174.59/x
  3. Step 3: Cross multiply
    7,682.90x = 11,524.58 × 4,174.59
  4. Step 4: Simplify right side
    7,682.90x = 48,110,375.55
  5. Step 5: Solve for x
    x = 48,110,375.55/7,682.90
  6. Step 6: Final answer
    x = 6,262.01

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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.