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Finding the Fourth Proportional to 10,676.38, 15,986.61 and 6,968.20

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Solution

The fourth proportional to 10,676.38, 15,986.61 and 6,968.20 is: 10,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.38 : 15,986.61 = 6,968.20 : x
  2. Step 2: Convert to fraction form
    10,676.38/15,986.61 = 6,968.20/x
  3. Step 3: Cross multiply
    10,676.38x = 15,986.61 × 6,968.20
  4. Step 4: Simplify right side
    10,676.38x = 111,397,895.80
  5. Step 5: Solve for x
    x = 111,397,895.80/10,676.38
  6. Step 6: Final answer
    x = 10,434.05

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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.