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Finding the Fourth Proportional to 7,646.48, 11,469.71 and 2,099.85

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Solution

The fourth proportional to 7,646.48, 11,469.71 and 2,099.85 is: 3,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.48 : 11,469.71 = 2,099.85 : x
  2. Step 2: Convert to fraction form
    7,646.48/11,469.71 = 2,099.85/x
  3. Step 3: Cross multiply
    7,646.48x = 11,469.71 × 2,099.85
  4. Step 4: Simplify right side
    7,646.48x = 24,084,632.78
  5. Step 5: Solve for x
    x = 24,084,632.78/7,646.48
  6. Step 6: Final answer
    x = 3,149.77

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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.