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Finding the Fourth Proportional to 10,246.85, 15,361.68 and 3,222.44

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Solution

The fourth proportional to 10,246.85, 15,361.68 and 3,222.44 is: 4,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.85 : 15,361.68 = 3,222.44 : x
  2. Step 2: Convert to fraction form
    10,246.85/15,361.68 = 3,222.44/x
  3. Step 3: Cross multiply
    10,246.85x = 15,361.68 × 3,222.44
  4. Step 4: Simplify right side
    10,246.85x = 49,502,092.10
  5. Step 5: Solve for x
    x = 49,502,092.10/10,246.85
  6. Step 6: Final answer
    x = 4,830.96

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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.