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Finding the Fourth Proportional to 11,624.31, 17,422.02 and 5,696.33

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Solution

The fourth proportional to 11,624.31, 17,422.02 and 5,696.33 is: 8,537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.31 : 17,422.02 = 5,696.33 : x
  2. Step 2: Convert to fraction form
    11,624.31/17,422.02 = 5,696.33/x
  3. Step 3: Cross multiply
    11,624.31x = 17,422.02 × 5,696.33
  4. Step 4: Simplify right side
    11,624.31x = 99,241,488.08
  5. Step 5: Solve for x
    x = 99,241,488.08/11,624.31
  6. Step 6: Final answer
    x = 8,537.41

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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.