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Finding the Fourth Proportional to 11,431.86, 17,151.03 and 3,641.28

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Solution

The fourth proportional to 11,431.86, 17,151.03 and 3,641.28 is: 5,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.86 : 17,151.03 = 3,641.28 : x
  2. Step 2: Convert to fraction form
    11,431.86/17,151.03 = 3,641.28/x
  3. Step 3: Cross multiply
    11,431.86x = 17,151.03 × 3,641.28
  4. Step 4: Simplify right side
    11,431.86x = 62,451,702.52
  5. Step 5: Solve for x
    x = 62,451,702.52/11,431.86
  6. Step 6: Final answer
    x = 5,462.95

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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.