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Finding the Fourth Proportional to 11,634.71, 16,058.73 and 6,601.86

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Solution

The fourth proportional to 11,634.71, 16,058.73 and 6,601.86 is: 9,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.71 : 16,058.73 = 6,601.86 : x
  2. Step 2: Convert to fraction form
    11,634.71/16,058.73 = 6,601.86/x
  3. Step 3: Cross multiply
    11,634.71x = 16,058.73 × 6,601.86
  4. Step 4: Simplify right side
    11,634.71x = 106,017,487.24
  5. Step 5: Solve for x
    x = 106,017,487.24/11,634.71
  6. Step 6: Final answer
    x = 9,112.18

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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.