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Finding the Fourth Proportional to 7,424.62, 11,137.67 and 2,159.68

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Solution

The fourth proportional to 7,424.62, 11,137.67 and 2,159.68 is: 3,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.62 : 11,137.67 = 2,159.68 : x
  2. Step 2: Convert to fraction form
    7,424.62/11,137.67 = 2,159.68/x
  3. Step 3: Cross multiply
    7,424.62x = 11,137.67 × 2,159.68
  4. Step 4: Simplify right side
    7,424.62x = 24,053,803.15
  5. Step 5: Solve for x
    x = 24,053,803.15/7,424.62
  6. Step 6: Final answer
    x = 3,239.74

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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.