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Finding the Fourth Proportional to 6,940.80, 10,411.20 and 5,300.55

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Solution

The fourth proportional to 6,940.80, 10,411.20 and 5,300.55 is: 7,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.80 : 10,411.20 = 5,300.55 : x
  2. Step 2: Convert to fraction form
    6,940.80/10,411.20 = 5,300.55/x
  3. Step 3: Cross multiply
    6,940.80x = 10,411.20 × 5,300.55
  4. Step 4: Simplify right side
    6,940.80x = 55,185,086.16
  5. Step 5: Solve for x
    x = 55,185,086.16/6,940.80
  6. Step 6: Final answer
    x = 7,950.83

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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.