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Finding the Fourth Proportional to 10,461.53, 15,694.23 and 3,441.94

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Solution

The fourth proportional to 10,461.53, 15,694.23 and 3,441.94 is: 5,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.53 : 15,694.23 = 3,441.94 : x
  2. Step 2: Convert to fraction form
    10,461.53/15,694.23 = 3,441.94/x
  3. Step 3: Cross multiply
    10,461.53x = 15,694.23 × 3,441.94
  4. Step 4: Simplify right side
    10,461.53x = 54,018,650.28
  5. Step 5: Solve for x
    x = 54,018,650.28/10,461.53
  6. Step 6: Final answer
    x = 5,163.55

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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.