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Finding the Fourth Proportional to 7,744.26, 10,682.20 and 6,176.10

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Solution

The fourth proportional to 7,744.26, 10,682.20 and 6,176.10 is: 8,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.26 : 10,682.20 = 6,176.10 : x
  2. Step 2: Convert to fraction form
    7,744.26/10,682.20 = 6,176.10/x
  3. Step 3: Cross multiply
    7,744.26x = 10,682.20 × 6,176.10
  4. Step 4: Simplify right side
    7,744.26x = 65,974,335.42
  5. Step 5: Solve for x
    x = 65,974,335.42/7,744.26
  6. Step 6: Final answer
    x = 8,519.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.