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Finding the Fourth Proportional to 11,641.62, 17,465.13 and 3,321.75

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Solution

The fourth proportional to 11,641.62, 17,465.13 and 3,321.75 is: 4,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.62 : 17,465.13 = 3,321.75 : x
  2. Step 2: Convert to fraction form
    11,641.62/17,465.13 = 3,321.75/x
  3. Step 3: Cross multiply
    11,641.62x = 17,465.13 × 3,321.75
  4. Step 4: Simplify right side
    11,641.62x = 58,014,708.25
  5. Step 5: Solve for x
    x = 58,014,708.25/11,641.62
  6. Step 6: Final answer
    x = 4,983.39

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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.