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Finding the Fourth Proportional to 11,713.87, 16,166.96 and 6,678.10

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Solution

The fourth proportional to 11,713.87, 16,166.96 and 6,678.10 is: 9,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.87 : 16,166.96 = 6,678.10 : x
  2. Step 2: Convert to fraction form
    11,713.87/16,166.96 = 6,678.10/x
  3. Step 3: Cross multiply
    11,713.87x = 16,166.96 × 6,678.10
  4. Step 4: Simplify right side
    11,713.87x = 107,964,575.58
  5. Step 5: Solve for x
    x = 107,964,575.58/11,713.87
  6. Step 6: Final answer
    x = 9,216.82

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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.