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Finding the Fourth Proportional to 11,641.41, 16,065.14 and 6,336.25

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Solution

The fourth proportional to 11,641.41, 16,065.14 and 6,336.25 is: 8,744.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.41 : 16,065.14 = 6,336.25 : x
  2. Step 2: Convert to fraction form
    11,641.41/16,065.14 = 6,336.25/x
  3. Step 3: Cross multiply
    11,641.41x = 16,065.14 × 6,336.25
  4. Step 4: Simplify right side
    11,641.41x = 101,792,671.48
  5. Step 5: Solve for x
    x = 101,792,671.48/11,641.41
  6. Step 6: Final answer
    x = 8,744.02

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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.