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Finding the Fourth Proportional to 11,889.86, 16,400.75 and 7,639.52

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Solution

The fourth proportional to 11,889.86, 16,400.75 and 7,639.52 is: 10,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.86 : 16,400.75 = 7,639.52 : x
  2. Step 2: Convert to fraction form
    11,889.86/16,400.75 = 7,639.52/x
  3. Step 3: Cross multiply
    11,889.86x = 16,400.75 × 7,639.52
  4. Step 4: Simplify right side
    11,889.86x = 125,293,737.44
  5. Step 5: Solve for x
    x = 125,293,737.44/11,889.86
  6. Step 6: Final answer
    x = 10,537.87

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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.