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Finding the Fourth Proportional to 11,202.22, 16,792.20 and 5,352

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Solution

The fourth proportional to 11,202.22, 16,792.20 and 5,352 is: 8,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.22 : 16,792.20 = 5,352 : x
  2. Step 2: Convert to fraction form
    11,202.22/16,792.20 = 5,352/x
  3. Step 3: Cross multiply
    11,202.22x = 16,792.20 × 5,352
  4. Step 4: Simplify right side
    11,202.22x = 89,871,854.40
  5. Step 5: Solve for x
    x = 89,871,854.40/11,202.22
  6. Step 6: Final answer
    x = 8,022.68

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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.