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Finding the Fourth Proportional to 6,726.40, 10,086 and 2,342.56

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Solution

The fourth proportional to 6,726.40, 10,086 and 2,342.56 is: 3,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.40 : 10,086 = 2,342.56 : x
  2. Step 2: Convert to fraction form
    6,726.40/10,086 = 2,342.56/x
  3. Step 3: Cross multiply
    6,726.40x = 10,086 × 2,342.56
  4. Step 4: Simplify right side
    6,726.40x = 23,627,060.16
  5. Step 5: Solve for x
    x = 23,627,060.16/6,726.40
  6. Step 6: Final answer
    x = 3,512.59

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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.