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Finding the Fourth Proportional to 6,853.40, 10,280.10 and 3,929.30

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Solution

The fourth proportional to 6,853.40, 10,280.10 and 3,929.30 is: 5,893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.40 : 10,280.10 = 3,929.30 : x
  2. Step 2: Convert to fraction form
    6,853.40/10,280.10 = 3,929.30/x
  3. Step 3: Cross multiply
    6,853.40x = 10,280.10 × 3,929.30
  4. Step 4: Simplify right side
    6,853.40x = 40,393,596.93
  5. Step 5: Solve for x
    x = 40,393,596.93/6,853.40
  6. Step 6: Final answer
    x = 5,893.95

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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.