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Finding the Fourth Proportional to 11,396.99, 17,103.13 and 4,001.47

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Solution

The fourth proportional to 11,396.99, 17,103.13 and 4,001.47 is: 6,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.99 : 17,103.13 = 4,001.47 : x
  2. Step 2: Convert to fraction form
    11,396.99/17,103.13 = 4,001.47/x
  3. Step 3: Cross multiply
    11,396.99x = 17,103.13 × 4,001.47
  4. Step 4: Simplify right side
    11,396.99x = 68,437,661.60
  5. Step 5: Solve for x
    x = 68,437,661.60/11,396.99
  6. Step 6: Final answer
    x = 6,004.89

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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.