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Finding the Fourth Proportional to 11,964.14, 16,516.98 and 8,390.06

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Solution

The fourth proportional to 11,964.14, 16,516.98 and 8,390.06 is: 11,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.14 : 16,516.98 = 8,390.06 : x
  2. Step 2: Convert to fraction form
    11,964.14/16,516.98 = 8,390.06/x
  3. Step 3: Cross multiply
    11,964.14x = 16,516.98 × 8,390.06
  4. Step 4: Simplify right side
    11,964.14x = 138,578,453.22
  5. Step 5: Solve for x
    x = 138,578,453.22/11,964.14
  6. Step 6: Final answer
    x = 11,582.82

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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.