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Finding the Fourth Proportional to 7,684.38, 11,520.09 and 3,064.86

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Solution

The fourth proportional to 7,684.38, 11,520.09 and 3,064.86 is: 4,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.38 : 11,520.09 = 3,064.86 : x
  2. Step 2: Convert to fraction form
    7,684.38/11,520.09 = 3,064.86/x
  3. Step 3: Cross multiply
    7,684.38x = 11,520.09 × 3,064.86
  4. Step 4: Simplify right side
    7,684.38x = 35,307,463.04
  5. Step 5: Solve for x
    x = 35,307,463.04/7,684.38
  6. Step 6: Final answer
    x = 4,594.71

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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.