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Finding the Fourth Proportional to 10,811.13, 16,217.03 and 3,415.65

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Solution

The fourth proportional to 10,811.13, 16,217.03 and 3,415.65 is: 5,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.13 : 16,217.03 = 3,415.65 : x
  2. Step 2: Convert to fraction form
    10,811.13/16,217.03 = 3,415.65/x
  3. Step 3: Cross multiply
    10,811.13x = 16,217.03 × 3,415.65
  4. Step 4: Simplify right side
    10,811.13x = 55,391,698.52
  5. Step 5: Solve for x
    x = 55,391,698.52/10,811.13
  6. Step 6: Final answer
    x = 5,123.58

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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.