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Finding the Fourth Proportional to 7,424.62, 11,138.78 and 5,237.62

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Solution

The fourth proportional to 7,424.62, 11,138.78 and 5,237.62 is: 7,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.62 : 11,138.78 = 5,237.62 : x
  2. Step 2: Convert to fraction form
    7,424.62/11,138.78 = 5,237.62/x
  3. Step 3: Cross multiply
    7,424.62x = 11,138.78 × 5,237.62
  4. Step 4: Simplify right side
    7,424.62x = 58,340,682.15
  5. Step 5: Solve for x
    x = 58,340,682.15/7,424.62
  6. Step 6: Final answer
    x = 7,857.74

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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.