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Finding the Fourth Proportional to 10,871.83, 16,313.22 and 8,104.06

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Solution

The fourth proportional to 10,871.83, 16,313.22 and 8,104.06 is: 12,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.83 : 16,313.22 = 8,104.06 : x
  2. Step 2: Convert to fraction form
    10,871.83/16,313.22 = 8,104.06/x
  3. Step 3: Cross multiply
    10,871.83x = 16,313.22 × 8,104.06
  4. Step 4: Simplify right side
    10,871.83x = 132,203,313.67
  5. Step 5: Solve for x
    x = 132,203,313.67/10,871.83
  6. Step 6: Final answer
    x = 12,160.17

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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.