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Finding the Fourth Proportional to 11,001, 15,182.34 and 6,033.96

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Solution

The fourth proportional to 11,001, 15,182.34 and 6,033.96 is: 8,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,001 : 15,182.34 = 6,033.96 : x
  2. Step 2: Convert to fraction form
    11,001/15,182.34 = 6,033.96/x
  3. Step 3: Cross multiply
    11,001x = 15,182.34 × 6,033.96
  4. Step 4: Simplify right side
    11,001x = 91,609,632.27
  5. Step 5: Solve for x
    x = 91,609,632.27/11,001
  6. Step 6: Final answer
    x = 8,327.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.