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Finding the Fourth Proportional to 11,169.37, 15,414 and 6,323.71

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Solution

The fourth proportional to 11,169.37, 15,414 and 6,323.71 is: 8,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,169.37 : 15,414 = 6,323.71 : x
  2. Step 2: Convert to fraction form
    11,169.37/15,414 = 6,323.71/x
  3. Step 3: Cross multiply
    11,169.37x = 15,414 × 6,323.71
  4. Step 4: Simplify right side
    11,169.37x = 97,473,665.94
  5. Step 5: Solve for x
    x = 97,473,665.94/11,169.37
  6. Step 6: Final answer
    x = 8,726.87

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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.