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Finding the Fourth Proportional to 11,196.96, 16,798.26 and 4,177.20

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Solution

The fourth proportional to 11,196.96, 16,798.26 and 4,177.20 is: 6,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196.96 : 16,798.26 = 4,177.20 : x
  2. Step 2: Convert to fraction form
    11,196.96/16,798.26 = 4,177.20/x
  3. Step 3: Cross multiply
    11,196.96x = 16,798.26 × 4,177.20
  4. Step 4: Simplify right side
    11,196.96x = 70,169,709.93
  5. Step 5: Solve for x
    x = 70,169,709.93/11,196.96
  6. Step 6: Final answer
    x = 6,266.85

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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.