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Finding the Fourth Proportional to 7,658.28, 11,487.42 and 2,464.56

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Solution

The fourth proportional to 7,658.28, 11,487.42 and 2,464.56 is: 3,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.28 : 11,487.42 = 2,464.56 : x
  2. Step 2: Convert to fraction form
    7,658.28/11,487.42 = 2,464.56/x
  3. Step 3: Cross multiply
    7,658.28x = 11,487.42 × 2,464.56
  4. Step 4: Simplify right side
    7,658.28x = 28,311,435.84
  5. Step 5: Solve for x
    x = 28,311,435.84/7,658.28
  6. Step 6: Final answer
    x = 3,696.84

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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.