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Finding the Fourth Proportional to 6,857.70, 10,283.31 and 3,158.84

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Solution

The fourth proportional to 6,857.70, 10,283.31 and 3,158.84 is: 4,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.70 : 10,283.31 = 3,158.84 : x
  2. Step 2: Convert to fraction form
    6,857.70/10,283.31 = 3,158.84/x
  3. Step 3: Cross multiply
    6,857.70x = 10,283.31 × 3,158.84
  4. Step 4: Simplify right side
    6,857.70x = 32,483,263.75
  5. Step 5: Solve for x
    x = 32,483,263.75/6,857.70
  6. Step 6: Final answer
    x = 4,736.76

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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.