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Finding the Fourth Proportional to 11,548.62, 17,319.51 and 3,226.64

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Solution

The fourth proportional to 11,548.62, 17,319.51 and 3,226.64 is: 4,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.62 : 17,319.51 = 3,226.64 : x
  2. Step 2: Convert to fraction form
    11,548.62/17,319.51 = 3,226.64/x
  3. Step 3: Cross multiply
    11,548.62x = 17,319.51 × 3,226.64
  4. Step 4: Simplify right side
    11,548.62x = 55,883,737.15
  5. Step 5: Solve for x
    x = 55,883,737.15/11,548.62
  6. Step 6: Final answer
    x = 4,839.00

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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.