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Finding the Fourth Proportional to 10,857.94, 14,983.41 and 6,142.12

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Solution

The fourth proportional to 10,857.94, 14,983.41 and 6,142.12 is: 8,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.94 : 14,983.41 = 6,142.12 : x
  2. Step 2: Convert to fraction form
    10,857.94/14,983.41 = 6,142.12/x
  3. Step 3: Cross multiply
    10,857.94x = 14,983.41 × 6,142.12
  4. Step 4: Simplify right side
    10,857.94x = 92,029,902.23
  5. Step 5: Solve for x
    x = 92,029,902.23/10,857.94
  6. Step 6: Final answer
    x = 8,475.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.