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Finding the Fourth Proportional to 11,548.68, 17,320.13 and 3,226.53

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Solution

The fourth proportional to 11,548.68, 17,320.13 and 3,226.53 is: 4,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.68 : 17,320.13 = 3,226.53 : x
  2. Step 2: Convert to fraction form
    11,548.68/17,320.13 = 3,226.53/x
  3. Step 3: Cross multiply
    11,548.68x = 17,320.13 × 3,226.53
  4. Step 4: Simplify right side
    11,548.68x = 55,883,979.97
  5. Step 5: Solve for x
    x = 55,883,979.97/11,548.68
  6. Step 6: Final answer
    x = 4,838.99

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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.