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Finding the Fourth Proportional to 11,353.10, 17,024.24 and 3,956.65

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Solution

The fourth proportional to 11,353.10, 17,024.24 and 3,956.65 is: 5,933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,353.10 : 17,024.24 = 3,956.65 : x
  2. Step 2: Convert to fraction form
    11,353.10/17,024.24 = 3,956.65/x
  3. Step 3: Cross multiply
    11,353.10x = 17,024.24 × 3,956.65
  4. Step 4: Simplify right side
    11,353.10x = 67,358,926.53
  5. Step 5: Solve for x
    x = 67,358,926.53/11,353.10
  6. Step 6: Final answer
    x = 5,933.09

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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.