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Finding the Fourth Proportional to 10,911.75, 15,058.22 and 5,943.75

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Solution

The fourth proportional to 10,911.75, 15,058.22 and 5,943.75 is: 8,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.75 : 15,058.22 = 5,943.75 : x
  2. Step 2: Convert to fraction form
    10,911.75/15,058.22 = 5,943.75/x
  3. Step 3: Cross multiply
    10,911.75x = 15,058.22 × 5,943.75
  4. Step 4: Simplify right side
    10,911.75x = 89,502,295.13
  5. Step 5: Solve for x
    x = 89,502,295.13/10,911.75
  6. Step 6: Final answer
    x = 8,202.38

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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.