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Finding the Fourth Proportional to 6,980.26, 10,471.92 and 2,300.08

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Solution

The fourth proportional to 6,980.26, 10,471.92 and 2,300.08 is: 3,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.26 : 10,471.92 = 2,300.08 : x
  2. Step 2: Convert to fraction form
    6,980.26/10,471.92 = 2,300.08/x
  3. Step 3: Cross multiply
    6,980.26x = 10,471.92 × 2,300.08
  4. Step 4: Simplify right side
    6,980.26x = 24,086,253.75
  5. Step 5: Solve for x
    x = 24,086,253.75/6,980.26
  6. Step 6: Final answer
    x = 3,450.62

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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.