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Finding the Fourth Proportional to 7,699.42, 11,550.57 and 3,082.78

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Solution

The fourth proportional to 7,699.42, 11,550.57 and 3,082.78 is: 4,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.42 : 11,550.57 = 3,082.78 : x
  2. Step 2: Convert to fraction form
    7,699.42/11,550.57 = 3,082.78/x
  3. Step 3: Cross multiply
    7,699.42x = 11,550.57 × 3,082.78
  4. Step 4: Simplify right side
    7,699.42x = 35,607,866.18
  5. Step 5: Solve for x
    x = 35,607,866.18/7,699.42
  6. Step 6: Final answer
    x = 4,624.75

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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.