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Finding the Fourth Proportional to 7,880.97, 10,874.88 and 4,343.50

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Solution

The fourth proportional to 7,880.97, 10,874.88 and 4,343.50 is: 5,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.97 : 10,874.88 = 4,343.50 : x
  2. Step 2: Convert to fraction form
    7,880.97/10,874.88 = 4,343.50/x
  3. Step 3: Cross multiply
    7,880.97x = 10,874.88 × 4,343.50
  4. Step 4: Simplify right side
    7,880.97x = 47,235,041.28
  5. Step 5: Solve for x
    x = 47,235,041.28/7,880.97
  6. Step 6: Final answer
    x = 5,993.56

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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.