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Finding the Fourth Proportional to 10,871.85, 16,278.57 and 6,901.61

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Solution

The fourth proportional to 10,871.85, 16,278.57 and 6,901.61 is: 10,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.85 : 16,278.57 = 6,901.61 : x
  2. Step 2: Convert to fraction form
    10,871.85/16,278.57 = 6,901.61/x
  3. Step 3: Cross multiply
    10,871.85x = 16,278.57 × 6,901.61
  4. Step 4: Simplify right side
    10,871.85x = 112,348,260.10
  5. Step 5: Solve for x
    x = 112,348,260.10/10,871.85
  6. Step 6: Final answer
    x = 10,333.87

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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.