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Finding the Fourth Proportional to 11,159.65, 16,743.84 and 4,915.27

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Solution

The fourth proportional to 11,159.65, 16,743.84 and 4,915.27 is: 7,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.65 : 16,743.84 = 4,915.27 : x
  2. Step 2: Convert to fraction form
    11,159.65/16,743.84 = 4,915.27/x
  3. Step 3: Cross multiply
    11,159.65x = 16,743.84 × 4,915.27
  4. Step 4: Simplify right side
    11,159.65x = 82,300,496.93
  5. Step 5: Solve for x
    x = 82,300,496.93/11,159.65
  6. Step 6: Final answer
    x = 7,374.83

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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.