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Finding the Fourth Proportional to 11,646.57, 17,464.17 and 3,852.75

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Solution

The fourth proportional to 11,646.57, 17,464.17 and 3,852.75 is: 5,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.57 : 17,464.17 = 3,852.75 : x
  2. Step 2: Convert to fraction form
    11,646.57/17,464.17 = 3,852.75/x
  3. Step 3: Cross multiply
    11,646.57x = 17,464.17 × 3,852.75
  4. Step 4: Simplify right side
    11,646.57x = 67,285,080.97
  5. Step 5: Solve for x
    x = 67,285,080.97/11,646.57
  6. Step 6: Final answer
    x = 5,777.24

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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.