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Finding the Fourth Proportional to 6,909.30, 10,364.04 and 1,979.10

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Solution

The fourth proportional to 6,909.30, 10,364.04 and 1,979.10 is: 2,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.30 : 10,364.04 = 1,979.10 : x
  2. Step 2: Convert to fraction form
    6,909.30/10,364.04 = 1,979.10/x
  3. Step 3: Cross multiply
    6,909.30x = 10,364.04 × 1,979.10
  4. Step 4: Simplify right side
    6,909.30x = 20,511,471.56
  5. Step 5: Solve for x
    x = 20,511,471.56/6,909.30
  6. Step 6: Final answer
    x = 2,968.68

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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.