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Finding the Fourth Proportional to 7,880, 10,874.36 and 4,343.28

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Solution

The fourth proportional to 7,880, 10,874.36 and 4,343.28 is: 5,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880 : 10,874.36 = 4,343.28 : x
  2. Step 2: Convert to fraction form
    7,880/10,874.36 = 4,343.28/x
  3. Step 3: Cross multiply
    7,880x = 10,874.36 × 4,343.28
  4. Step 4: Simplify right side
    7,880x = 47,230,390.30
  5. Step 5: Solve for x
    x = 47,230,390.30/7,880
  6. Step 6: Final answer
    x = 5,993.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.