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Finding the Fourth Proportional to 11,422, 17,140.29 and 6,227.88

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Solution

The fourth proportional to 11,422, 17,140.29 and 6,227.88 is: 9,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422 : 17,140.29 = 6,227.88 : x
  2. Step 2: Convert to fraction form
    11,422/17,140.29 = 6,227.88/x
  3. Step 3: Cross multiply
    11,422x = 17,140.29 × 6,227.88
  4. Step 4: Simplify right side
    11,422x = 106,747,669.29
  5. Step 5: Solve for x
    x = 106,747,669.29/11,422
  6. Step 6: Final answer
    x = 9,345.79

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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.