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Finding the Fourth Proportional to 7,650.04, 11,452.78 and 5,684.39

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Solution

The fourth proportional to 7,650.04, 11,452.78 and 5,684.39 is: 8,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.04 : 11,452.78 = 5,684.39 : x
  2. Step 2: Convert to fraction form
    7,650.04/11,452.78 = 5,684.39/x
  3. Step 3: Cross multiply
    7,650.04x = 11,452.78 × 5,684.39
  4. Step 4: Simplify right side
    7,650.04x = 65,102,020.69
  5. Step 5: Solve for x
    x = 65,102,020.69/7,650.04
  6. Step 6: Final answer
    x = 8,510.02

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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.