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Finding the Fourth Proportional to 12,160.94, 16,781.58 and 6,856.25

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Solution

The fourth proportional to 12,160.94, 16,781.58 and 6,856.25 is: 9,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.94 : 16,781.58 = 6,856.25 : x
  2. Step 2: Convert to fraction form
    12,160.94/16,781.58 = 6,856.25/x
  3. Step 3: Cross multiply
    12,160.94x = 16,781.58 × 6,856.25
  4. Step 4: Simplify right side
    12,160.94x = 115,058,623.97
  5. Step 5: Solve for x
    x = 115,058,623.97/12,160.94
  6. Step 6: Final answer
    x = 9,461.33

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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.