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Finding the Fourth Proportional to 10,913.34, 16,371.22 and 3,895

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Solution

The fourth proportional to 10,913.34, 16,371.22 and 3,895 is: 5,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.34 : 16,371.22 = 3,895 : x
  2. Step 2: Convert to fraction form
    10,913.34/16,371.22 = 3,895/x
  3. Step 3: Cross multiply
    10,913.34x = 16,371.22 × 3,895
  4. Step 4: Simplify right side
    10,913.34x = 63,765,901.90
  5. Step 5: Solve for x
    x = 63,765,901.90/10,913.34
  6. Step 6: Final answer
    x = 5,842.93

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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.