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Finding the Fourth Proportional to 6,830.40, 10,253.70 and 3,871.20

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Solution

The fourth proportional to 6,830.40, 10,253.70 and 3,871.20 is: 5,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.40 : 10,253.70 = 3,871.20 : x
  2. Step 2: Convert to fraction form
    6,830.40/10,253.70 = 3,871.20/x
  3. Step 3: Cross multiply
    6,830.40x = 10,253.70 × 3,871.20
  4. Step 4: Simplify right side
    6,830.40x = 39,694,123.44
  5. Step 5: Solve for x
    x = 39,694,123.44/6,830.40
  6. Step 6: Final answer
    x = 5,811.39

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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.