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Finding the Fourth Proportional to 11,144.96, 15,380.01 and 6,109.39

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Solution

The fourth proportional to 11,144.96, 15,380.01 and 6,109.39 is: 8,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.96 : 15,380.01 = 6,109.39 : x
  2. Step 2: Convert to fraction form
    11,144.96/15,380.01 = 6,109.39/x
  3. Step 3: Cross multiply
    11,144.96x = 15,380.01 × 6,109.39
  4. Step 4: Simplify right side
    11,144.96x = 93,962,498.52
  5. Step 5: Solve for x
    x = 93,962,498.52/11,144.96
  6. Step 6: Final answer
    x = 8,430.94

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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.