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Finding the Fourth Proportional to 7,650.82, 10,543.82 and 5,969.56

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Solution

The fourth proportional to 7,650.82, 10,543.82 and 5,969.56 is: 8,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.82 : 10,543.82 = 5,969.56 : x
  2. Step 2: Convert to fraction form
    7,650.82/10,543.82 = 5,969.56/x
  3. Step 3: Cross multiply
    7,650.82x = 10,543.82 × 5,969.56
  4. Step 4: Simplify right side
    7,650.82x = 62,941,966.12
  5. Step 5: Solve for x
    x = 62,941,966.12/7,650.82
  6. Step 6: Final answer
    x = 8,226.83

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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.