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Finding the Fourth Proportional to 11,471.82, 17,205.04 and 3,152.49

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Solution

The fourth proportional to 11,471.82, 17,205.04 and 3,152.49 is: 4,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.82 : 17,205.04 = 3,152.49 : x
  2. Step 2: Convert to fraction form
    11,471.82/17,205.04 = 3,152.49/x
  3. Step 3: Cross multiply
    11,471.82x = 17,205.04 × 3,152.49
  4. Step 4: Simplify right side
    11,471.82x = 54,238,716.55
  5. Step 5: Solve for x
    x = 54,238,716.55/11,471.82
  6. Step 6: Final answer
    x = 4,728.00

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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.