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Finding the Fourth Proportional to 10,405.94, 15,609.11 and 4,857.78

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Solution

The fourth proportional to 10,405.94, 15,609.11 and 4,857.78 is: 7,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.94 : 15,609.11 = 4,857.78 : x
  2. Step 2: Convert to fraction form
    10,405.94/15,609.11 = 4,857.78/x
  3. Step 3: Cross multiply
    10,405.94x = 15,609.11 × 4,857.78
  4. Step 4: Simplify right side
    10,405.94x = 75,825,622.38
  5. Step 5: Solve for x
    x = 75,825,622.38/10,405.94
  6. Step 6: Final answer
    x = 7,286.76

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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.