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Finding the Fourth Proportional to 7,771.20, 10,724.16 and 4,321.68

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Solution

The fourth proportional to 7,771.20, 10,724.16 and 4,321.68 is: 5,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.20 : 10,724.16 = 4,321.68 : x
  2. Step 2: Convert to fraction form
    7,771.20/10,724.16 = 4,321.68/x
  3. Step 3: Cross multiply
    7,771.20x = 10,724.16 × 4,321.68
  4. Step 4: Simplify right side
    7,771.20x = 46,346,387.79
  5. Step 5: Solve for x
    x = 46,346,387.79/7,771.20
  6. Step 6: Final answer
    x = 5,963.87

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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.