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Finding the Fourth Proportional to 11,196.38, 16,797.65 and 8,864.16

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Solution

The fourth proportional to 11,196.38, 16,797.65 and 8,864.16 is: 13,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196.38 : 16,797.65 = 8,864.16 : x
  2. Step 2: Convert to fraction form
    11,196.38/16,797.65 = 8,864.16/x
  3. Step 3: Cross multiply
    11,196.38x = 16,797.65 × 8,864.16
  4. Step 4: Simplify right side
    11,196.38x = 148,896,949.91
  5. Step 5: Solve for x
    x = 148,896,949.91/11,196.38
  6. Step 6: Final answer
    x = 13,298.67

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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.