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Finding the Fourth Proportional to 11,572.26, 17,344.47 and 5,323.66

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Solution

The fourth proportional to 11,572.26, 17,344.47 and 5,323.66 is: 7,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.26 : 17,344.47 = 5,323.66 : x
  2. Step 2: Convert to fraction form
    11,572.26/17,344.47 = 5,323.66/x
  3. Step 3: Cross multiply
    11,572.26x = 17,344.47 × 5,323.66
  4. Step 4: Simplify right side
    11,572.26x = 92,336,037.76
  5. Step 5: Solve for x
    x = 92,336,037.76/11,572.26
  6. Step 6: Final answer
    x = 7,979.09

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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.