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Finding the Fourth Proportional to 10,223.41, 15,335.11 and 3,297.91

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Solution

The fourth proportional to 10,223.41, 15,335.11 and 3,297.91 is: 4,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.41 : 15,335.11 = 3,297.91 : x
  2. Step 2: Convert to fraction form
    10,223.41/15,335.11 = 3,297.91/x
  3. Step 3: Cross multiply
    10,223.41x = 15,335.11 × 3,297.91
  4. Step 4: Simplify right side
    10,223.41x = 50,573,812.62
  5. Step 5: Solve for x
    x = 50,573,812.62/10,223.41
  6. Step 6: Final answer
    x = 4,946.86

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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.