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Finding the Fourth Proportional to 11,656.66, 16,086.19 and 6,351.47

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Solution

The fourth proportional to 11,656.66, 16,086.19 and 6,351.47 is: 8,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.66 : 16,086.19 = 6,351.47 : x
  2. Step 2: Convert to fraction form
    11,656.66/16,086.19 = 6,351.47/x
  3. Step 3: Cross multiply
    11,656.66x = 16,086.19 × 6,351.47
  4. Step 4: Simplify right side
    11,656.66x = 102,170,956.50
  5. Step 5: Solve for x
    x = 102,170,956.50/11,656.66
  6. Step 6: Final answer
    x = 8,765.03

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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.