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Finding the Fourth Proportional to 10,033.26, 13,846 and 5,557.09

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Solution

The fourth proportional to 10,033.26, 13,846 and 5,557.09 is: 7,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.26 : 13,846 = 5,557.09 : x
  2. Step 2: Convert to fraction form
    10,033.26/13,846 = 5,557.09/x
  3. Step 3: Cross multiply
    10,033.26x = 13,846 × 5,557.09
  4. Step 4: Simplify right side
    10,033.26x = 76,943,468.14
  5. Step 5: Solve for x
    x = 76,943,468.14/10,033.26
  6. Step 6: Final answer
    x = 7,668.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.