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Finding the Fourth Proportional to 11,712.64, 16,163.27 and 6,677.14

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Solution

The fourth proportional to 11,712.64, 16,163.27 and 6,677.14 is: 9,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.64 : 16,163.27 = 6,677.14 : x
  2. Step 2: Convert to fraction form
    11,712.64/16,163.27 = 6,677.14/x
  3. Step 3: Cross multiply
    11,712.64x = 16,163.27 × 6,677.14
  4. Step 4: Simplify right side
    11,712.64x = 107,924,416.65
  5. Step 5: Solve for x
    x = 107,924,416.65/11,712.64
  6. Step 6: Final answer
    x = 9,214.35

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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.