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Finding the Fourth Proportional to 7,691.44, 11,538.27 and 2,424.67

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Solution

The fourth proportional to 7,691.44, 11,538.27 and 2,424.67 is: 3,637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.44 : 11,538.27 = 2,424.67 : x
  2. Step 2: Convert to fraction form
    7,691.44/11,538.27 = 2,424.67/x
  3. Step 3: Cross multiply
    7,691.44x = 11,538.27 × 2,424.67
  4. Step 4: Simplify right side
    7,691.44x = 27,976,468.28
  5. Step 5: Solve for x
    x = 27,976,468.28/7,691.44
  6. Step 6: Final answer
    x = 3,637.35

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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.