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Finding the Fourth Proportional to 11,202.98, 16,792.73 and 4,180.17

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Solution

The fourth proportional to 11,202.98, 16,792.73 and 4,180.17 is: 6,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.98 : 16,792.73 = 4,180.17 : x
  2. Step 2: Convert to fraction form
    11,202.98/16,792.73 = 4,180.17/x
  3. Step 3: Cross multiply
    11,202.98x = 16,792.73 × 4,180.17
  4. Step 4: Simplify right side
    11,202.98x = 70,196,466.16
  5. Step 5: Solve for x
    x = 70,196,466.16/11,202.98
  6. Step 6: Final answer
    x = 6,265.87

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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.