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Finding the Fourth Proportional to 11,011.04, 15,194.81 and 5,975.08

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Solution

The fourth proportional to 11,011.04, 15,194.81 and 5,975.08 is: 8,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,011.04 : 15,194.81 = 5,975.08 : x
  2. Step 2: Convert to fraction form
    11,011.04/15,194.81 = 5,975.08/x
  3. Step 3: Cross multiply
    11,011.04x = 15,194.81 × 5,975.08
  4. Step 4: Simplify right side
    11,011.04x = 90,790,234.15
  5. Step 5: Solve for x
    x = 90,790,234.15/11,011.04
  6. Step 6: Final answer
    x = 8,245.38

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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.