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Finding the Fourth Proportional to 12,160.36, 16,781.18 and 6,856.89

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Solution

The fourth proportional to 12,160.36, 16,781.18 and 6,856.89 is: 9,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.36 : 16,781.18 = 6,856.89 : x
  2. Step 2: Convert to fraction form
    12,160.36/16,781.18 = 6,856.89/x
  3. Step 3: Cross multiply
    12,160.36x = 16,781.18 × 6,856.89
  4. Step 4: Simplify right side
    12,160.36x = 115,066,608.12
  5. Step 5: Solve for x
    x = 115,066,608.12/12,160.36
  6. Step 6: Final answer
    x = 9,462.43

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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.