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Finding the Fourth Proportional to 10,058.82, 15,020.49 and 8,213.54

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Solution

The fourth proportional to 10,058.82, 15,020.49 and 8,213.54 is: 12,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.82 : 15,020.49 = 8,213.54 : x
  2. Step 2: Convert to fraction form
    10,058.82/15,020.49 = 8,213.54/x
  3. Step 3: Cross multiply
    10,058.82x = 15,020.49 × 8,213.54
  4. Step 4: Simplify right side
    10,058.82x = 123,371,395.43
  5. Step 5: Solve for x
    x = 123,371,395.43/10,058.82
  6. Step 6: Final answer
    x = 12,265.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.