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Finding the Fourth Proportional to 7,650.17, 11,450.95 and 4,135.17

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Solution

The fourth proportional to 7,650.17, 11,450.95 and 4,135.17 is: 6,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.17 : 11,450.95 = 4,135.17 : x
  2. Step 2: Convert to fraction form
    7,650.17/11,450.95 = 4,135.17/x
  3. Step 3: Cross multiply
    7,650.17x = 11,450.95 × 4,135.17
  4. Step 4: Simplify right side
    7,650.17x = 47,351,614.57
  5. Step 5: Solve for x
    x = 47,351,614.57/7,650.17
  6. Step 6: Final answer
    x = 6,189.62

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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.