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Finding the Fourth Proportional to 10,792.56, 16,190 and 3,397.24

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Solution

The fourth proportional to 10,792.56, 16,190 and 3,397.24 is: 5,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.56 : 16,190 = 3,397.24 : x
  2. Step 2: Convert to fraction form
    10,792.56/16,190 = 3,397.24/x
  3. Step 3: Cross multiply
    10,792.56x = 16,190 × 3,397.24
  4. Step 4: Simplify right side
    10,792.56x = 55,001,315.60
  5. Step 5: Solve for x
    x = 55,001,315.60/10,792.56
  6. Step 6: Final answer
    x = 5,096.23

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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.