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Finding the Fourth Proportional to 12,593.31, 17,378.38 and 6,928.05

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Solution

The fourth proportional to 12,593.31, 17,378.38 and 6,928.05 is: 9,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.31 : 17,378.38 = 6,928.05 : x
  2. Step 2: Convert to fraction form
    12,593.31/17,378.38 = 6,928.05/x
  3. Step 3: Cross multiply
    12,593.31x = 17,378.38 × 6,928.05
  4. Step 4: Simplify right side
    12,593.31x = 120,398,285.56
  5. Step 5: Solve for x
    x = 120,398,285.56/12,593.31
  6. Step 6: Final answer
    x = 9,560.50

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Why These Related Problems?

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