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Finding the Fourth Proportional to 6,902.83, 10,355.80 and 2,520.30

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Solution

The fourth proportional to 6,902.83, 10,355.80 and 2,520.30 is: 3,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.83 : 10,355.80 = 2,520.30 : x
  2. Step 2: Convert to fraction form
    6,902.83/10,355.80 = 2,520.30/x
  3. Step 3: Cross multiply
    6,902.83x = 10,355.80 × 2,520.30
  4. Step 4: Simplify right side
    6,902.83x = 26,099,722.74
  5. Step 5: Solve for x
    x = 26,099,722.74/6,902.83
  6. Step 6: Final answer
    x = 3,781.02

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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.