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Finding the Fourth Proportional to 10,979.84, 16,486.16 and 10,815.81

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Solution

The fourth proportional to 10,979.84, 16,486.16 and 10,815.81 is: 16,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,979.84 : 16,486.16 = 10,815.81 : x
  2. Step 2: Convert to fraction form
    10,979.84/16,486.16 = 10,815.81/x
  3. Step 3: Cross multiply
    10,979.84x = 16,486.16 × 10,815.81
  4. Step 4: Simplify right side
    10,979.84x = 178,311,120.11
  5. Step 5: Solve for x
    x = 178,311,120.11/10,979.84
  6. Step 6: Final answer
    x = 16,239.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.