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Finding the Fourth Proportional to 11,231.25, 16,835.03 and 4,206.68

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Solution

The fourth proportional to 11,231.25, 16,835.03 and 4,206.68 is: 6,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.25 : 16,835.03 = 4,206.68 : x
  2. Step 2: Convert to fraction form
    11,231.25/16,835.03 = 4,206.68/x
  3. Step 3: Cross multiply
    11,231.25x = 16,835.03 × 4,206.68
  4. Step 4: Simplify right side
    11,231.25x = 70,819,584.00
  5. Step 5: Solve for x
    x = 70,819,584.00/11,231.25
  6. Step 6: Final answer
    x = 6,305.58

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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.