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Finding the Fourth Proportional to 11,530.94, 17,296.40 and 5,286.83

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Solution

The fourth proportional to 11,530.94, 17,296.40 and 5,286.83 is: 7,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.94 : 17,296.40 = 5,286.83 : x
  2. Step 2: Convert to fraction form
    11,530.94/17,296.40 = 5,286.83/x
  3. Step 3: Cross multiply
    11,530.94x = 17,296.40 × 5,286.83
  4. Step 4: Simplify right side
    11,530.94x = 91,443,053.15
  5. Step 5: Solve for x
    x = 91,443,053.15/11,530.94
  6. Step 6: Final answer
    x = 7,930.24

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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.