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Finding the Fourth Proportional to 6,902.72, 10,355.45 and 3,980.34

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Solution

The fourth proportional to 6,902.72, 10,355.45 and 3,980.34 is: 5,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.72 : 10,355.45 = 3,980.34 : x
  2. Step 2: Convert to fraction form
    6,902.72/10,355.45 = 3,980.34/x
  3. Step 3: Cross multiply
    6,902.72x = 10,355.45 × 3,980.34
  4. Step 4: Simplify right side
    6,902.72x = 41,218,191.95
  5. Step 5: Solve for x
    x = 41,218,191.95/6,902.72
  6. Step 6: Final answer
    x = 5,971.30

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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.