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Finding the Fourth Proportional to 11,646.12, 17,471.88 and 3,326.25

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Solution

The fourth proportional to 11,646.12, 17,471.88 and 3,326.25 is: 4,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.12 : 17,471.88 = 3,326.25 : x
  2. Step 2: Convert to fraction form
    11,646.12/17,471.88 = 3,326.25/x
  3. Step 3: Cross multiply
    11,646.12x = 17,471.88 × 3,326.25
  4. Step 4: Simplify right side
    11,646.12x = 58,115,840.85
  5. Step 5: Solve for x
    x = 58,115,840.85/11,646.12
  6. Step 6: Final answer
    x = 4,990.15

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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.