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Finding the Fourth Proportional to 7,682.01, 10,601.31 and 4,538.19

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Solution

The fourth proportional to 7,682.01, 10,601.31 and 4,538.19 is: 6,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.01 : 10,601.31 = 4,538.19 : x
  2. Step 2: Convert to fraction form
    7,682.01/10,601.31 = 4,538.19/x
  3. Step 3: Cross multiply
    7,682.01x = 10,601.31 × 4,538.19
  4. Step 4: Simplify right side
    7,682.01x = 48,110,759.03
  5. Step 5: Solve for x
    x = 48,110,759.03/7,682.01
  6. Step 6: Final answer
    x = 6,262.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.