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Finding the Fourth Proportional to 11,743.98, 17,611.78 and 5,502.94

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Solution

The fourth proportional to 11,743.98, 17,611.78 and 5,502.94 is: 8,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,743.98 : 17,611.78 = 5,502.94 : x
  2. Step 2: Convert to fraction form
    11,743.98/17,611.78 = 5,502.94/x
  3. Step 3: Cross multiply
    11,743.98x = 17,611.78 × 5,502.94
  4. Step 4: Simplify right side
    11,743.98x = 96,916,568.63
  5. Step 5: Solve for x
    x = 96,916,568.63/11,743.98
  6. Step 6: Final answer
    x = 8,252.45

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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.