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Finding the Fourth Proportional to 6,887.71, 10,331.47 and 1,693.63

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Solution

The fourth proportional to 6,887.71, 10,331.47 and 1,693.63 is: 2,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.71 : 10,331.47 = 1,693.63 : x
  2. Step 2: Convert to fraction form
    6,887.71/10,331.47 = 1,693.63/x
  3. Step 3: Cross multiply
    6,887.71x = 10,331.47 × 1,693.63
  4. Step 4: Simplify right side
    6,887.71x = 17,497,687.54
  5. Step 5: Solve for x
    x = 17,497,687.54/6,887.71
  6. Step 6: Final answer
    x = 2,540.42

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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.