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Finding the Fourth Proportional to 10,894.12, 16,340.38 and 3,871.48

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Solution

The fourth proportional to 10,894.12, 16,340.38 and 3,871.48 is: 5,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.12 : 16,340.38 = 3,871.48 : x
  2. Step 2: Convert to fraction form
    10,894.12/16,340.38 = 3,871.48/x
  3. Step 3: Cross multiply
    10,894.12x = 16,340.38 × 3,871.48
  4. Step 4: Simplify right side
    10,894.12x = 63,261,454.36
  5. Step 5: Solve for x
    x = 63,261,454.36/10,894.12
  6. Step 6: Final answer
    x = 5,806.94

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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.