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Finding the Fourth Proportional to 7,398.96, 11,096 and 2,467.24

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Solution

The fourth proportional to 7,398.96, 11,096 and 2,467.24 is: 3,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.96 : 11,096 = 2,467.24 : x
  2. Step 2: Convert to fraction form
    7,398.96/11,096 = 2,467.24/x
  3. Step 3: Cross multiply
    7,398.96x = 11,096 × 2,467.24
  4. Step 4: Simplify right side
    7,398.96x = 27,376,495.04
  5. Step 5: Solve for x
    x = 27,376,495.04/7,398.96
  6. Step 6: Final answer
    x = 3,700.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.