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Finding the Fourth Proportional to 7,549.62, 10,418.79 and 4,564.92

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Solution

The fourth proportional to 7,549.62, 10,418.79 and 4,564.92 is: 6,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.62 : 10,418.79 = 4,564.92 : x
  2. Step 2: Convert to fraction form
    7,549.62/10,418.79 = 4,564.92/x
  3. Step 3: Cross multiply
    7,549.62x = 10,418.79 × 4,564.92
  4. Step 4: Simplify right side
    7,549.62x = 47,560,942.85
  5. Step 5: Solve for x
    x = 47,560,942.85/7,549.62
  6. Step 6: Final answer
    x = 6,299.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.