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Finding the Fourth Proportional to 10,857.52, 16,286.25 and 3,461.98

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Solution

The fourth proportional to 10,857.52, 16,286.25 and 3,461.98 is: 5,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.52 : 16,286.25 = 3,461.98 : x
  2. Step 2: Convert to fraction form
    10,857.52/16,286.25 = 3,461.98/x
  3. Step 3: Cross multiply
    10,857.52x = 16,286.25 × 3,461.98
  4. Step 4: Simplify right side
    10,857.52x = 56,382,671.78
  5. Step 5: Solve for x
    x = 56,382,671.78/10,857.52
  6. Step 6: Final answer
    x = 5,192.96

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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.