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Finding the Fourth Proportional to 12,660.12, 17,471.34 and 7,071

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Solution

The fourth proportional to 12,660.12, 17,471.34 and 7,071 is: 9,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660.12 : 17,471.34 = 7,071 : x
  2. Step 2: Convert to fraction form
    12,660.12/17,471.34 = 7,071/x
  3. Step 3: Cross multiply
    12,660.12x = 17,471.34 × 7,071
  4. Step 4: Simplify right side
    12,660.12x = 123,539,845.14
  5. Step 5: Solve for x
    x = 123,539,845.14/12,660.12
  6. Step 6: Final answer
    x = 9,758.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.