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Finding the Fourth Proportional to 12,760.31, 17,606.52 and 7,723.55

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Solution

The fourth proportional to 12,760.31, 17,606.52 and 7,723.55 is: 10,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.31 : 17,606.52 = 7,723.55 : x
  2. Step 2: Convert to fraction form
    12,760.31/17,606.52 = 7,723.55/x
  3. Step 3: Cross multiply
    12,760.31x = 17,606.52 × 7,723.55
  4. Step 4: Simplify right side
    12,760.31x = 135,984,837.55
  5. Step 5: Solve for x
    x = 135,984,837.55/12,760.31
  6. Step 6: Final answer
    x = 10,656.86

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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.