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Finding the Fourth Proportional to 7,855.20, 10,839.42 and 4,318.56

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Solution

The fourth proportional to 7,855.20, 10,839.42 and 4,318.56 is: 5,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.20 : 10,839.42 = 4,318.56 : x
  2. Step 2: Convert to fraction form
    7,855.20/10,839.42 = 4,318.56/x
  3. Step 3: Cross multiply
    7,855.20x = 10,839.42 × 4,318.56
  4. Step 4: Simplify right side
    7,855.20x = 46,810,685.64
  5. Step 5: Solve for x
    x = 46,810,685.64/7,855.20
  6. Step 6: Final answer
    x = 5,959.20

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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.