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Finding the Fourth Proportional to 12,086.37, 16,679.48 and 6,781.58

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Solution

The fourth proportional to 12,086.37, 16,679.48 and 6,781.58 is: 9,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.37 : 16,679.48 = 6,781.58 : x
  2. Step 2: Convert to fraction form
    12,086.37/16,679.48 = 6,781.58/x
  3. Step 3: Cross multiply
    12,086.37x = 16,679.48 × 6,781.58
  4. Step 4: Simplify right side
    12,086.37x = 113,113,267.82
  5. Step 5: Solve for x
    x = 113,113,267.82/12,086.37
  6. Step 6: Final answer
    x = 9,358.74

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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.