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Finding the Fourth Proportional to 11,396.56, 17,102.50 and 4,001.08

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Solution

The fourth proportional to 11,396.56, 17,102.50 and 4,001.08 is: 6,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.56 : 17,102.50 = 4,001.08 : x
  2. Step 2: Convert to fraction form
    11,396.56/17,102.50 = 4,001.08/x
  3. Step 3: Cross multiply
    11,396.56x = 17,102.50 × 4,001.08
  4. Step 4: Simplify right side
    11,396.56x = 68,428,470.70
  5. Step 5: Solve for x
    x = 68,428,470.70/11,396.56
  6. Step 6: Final answer
    x = 6,004.31

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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.