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Finding the Fourth Proportional to 7,538.91, 11,309.33 and 2,794.42

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Solution

The fourth proportional to 7,538.91, 11,309.33 and 2,794.42 is: 4,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.91 : 11,309.33 = 2,794.42 : x
  2. Step 2: Convert to fraction form
    7,538.91/11,309.33 = 2,794.42/x
  3. Step 3: Cross multiply
    7,538.91x = 11,309.33 × 2,794.42
  4. Step 4: Simplify right side
    7,538.91x = 31,603,017.94
  5. Step 5: Solve for x
    x = 31,603,017.94/7,538.91
  6. Step 6: Final answer
    x = 4,191.99

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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.