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Finding the Fourth Proportional to 11,154.12, 16,731.99 and 3,758.82

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Solution

The fourth proportional to 11,154.12, 16,731.99 and 3,758.82 is: 5,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.12 : 16,731.99 = 3,758.82 : x
  2. Step 2: Convert to fraction form
    11,154.12/16,731.99 = 3,758.82/x
  3. Step 3: Cross multiply
    11,154.12x = 16,731.99 × 3,758.82
  4. Step 4: Simplify right side
    11,154.12x = 62,892,538.65
  5. Step 5: Solve for x
    x = 62,892,538.65/11,154.12
  6. Step 6: Final answer
    x = 5,638.50

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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.