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Finding the Fourth Proportional to 10,369.75, 15,554.69 and 2,578.56

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Solution

The fourth proportional to 10,369.75, 15,554.69 and 2,578.56 is: 3,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.75 : 15,554.69 = 2,578.56 : x
  2. Step 2: Convert to fraction form
    10,369.75/15,554.69 = 2,578.56/x
  3. Step 3: Cross multiply
    10,369.75x = 15,554.69 × 2,578.56
  4. Step 4: Simplify right side
    10,369.75x = 40,108,756.55
  5. Step 5: Solve for x
    x = 40,108,756.55/10,369.75
  6. Step 6: Final answer
    x = 3,867.86

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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.