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Finding the Fourth Proportional to 10,092.78, 13,922.28 and 6,058.54

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Solution

The fourth proportional to 10,092.78, 13,922.28 and 6,058.54 is: 8,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.78 : 13,922.28 = 6,058.54 : x
  2. Step 2: Convert to fraction form
    10,092.78/13,922.28 = 6,058.54/x
  3. Step 3: Cross multiply
    10,092.78x = 13,922.28 × 6,058.54
  4. Step 4: Simplify right side
    10,092.78x = 84,348,690.27
  5. Step 5: Solve for x
    x = 84,348,690.27/10,092.78
  6. Step 6: Final answer
    x = 8,357.33

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