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Finding the Fourth Proportional to 7,538.43, 11,296.17 and 3,835.11

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Solution

The fourth proportional to 7,538.43, 11,296.17 and 3,835.11 is: 5,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.43 : 11,296.17 = 3,835.11 : x
  2. Step 2: Convert to fraction form
    7,538.43/11,296.17 = 3,835.11/x
  3. Step 3: Cross multiply
    7,538.43x = 11,296.17 × 3,835.11
  4. Step 4: Simplify right side
    7,538.43x = 43,322,054.53
  5. Step 5: Solve for x
    x = 43,322,054.53/7,538.43
  6. Step 6: Final answer
    x = 5,746.83

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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.