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Finding the Fourth Proportional to 7,732.62, 10,676.07 and 5,633.10

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Solution

The fourth proportional to 7,732.62, 10,676.07 and 5,633.10 is: 7,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.62 : 10,676.07 = 5,633.10 : x
  2. Step 2: Convert to fraction form
    7,732.62/10,676.07 = 5,633.10/x
  3. Step 3: Cross multiply
    7,732.62x = 10,676.07 × 5,633.10
  4. Step 4: Simplify right side
    7,732.62x = 60,139,369.92
  5. Step 5: Solve for x
    x = 60,139,369.92/7,732.62
  6. Step 6: Final answer
    x = 7,777.36

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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.