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Finding the Fourth Proportional to 10,720, 16,079.84 and 3,792.80

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Solution

The fourth proportional to 10,720, 16,079.84 and 3,792.80 is: 5,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720 : 16,079.84 = 3,792.80 : x
  2. Step 2: Convert to fraction form
    10,720/16,079.84 = 3,792.80/x
  3. Step 3: Cross multiply
    10,720x = 16,079.84 × 3,792.80
  4. Step 4: Simplify right side
    10,720x = 60,987,617.15
  5. Step 5: Solve for x
    x = 60,987,617.15/10,720
  6. Step 6: Final answer
    x = 5,689.14

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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.