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Finding the Fourth Proportional to 12,058.56, 16,644.15 and 7,866

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Solution

The fourth proportional to 12,058.56, 16,644.15 and 7,866 is: 10,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.56 : 16,644.15 = 7,866 : x
  2. Step 2: Convert to fraction form
    12,058.56/16,644.15 = 7,866/x
  3. Step 3: Cross multiply
    12,058.56x = 16,644.15 × 7,866
  4. Step 4: Simplify right side
    12,058.56x = 130,922,883.90
  5. Step 5: Solve for x
    x = 130,922,883.90/12,058.56
  6. Step 6: Final answer
    x = 10,857.26

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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.