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Finding the Fourth Proportional to 7,771.37, 10,723.28 and 4,367.71

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Solution

The fourth proportional to 7,771.37, 10,723.28 and 4,367.71 is: 6,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.37 : 10,723.28 = 4,367.71 : x
  2. Step 2: Convert to fraction form
    7,771.37/10,723.28 = 4,367.71/x
  3. Step 3: Cross multiply
    7,771.37x = 10,723.28 × 4,367.71
  4. Step 4: Simplify right side
    7,771.37x = 46,836,101.83
  5. Step 5: Solve for x
    x = 46,836,101.83/7,771.37
  6. Step 6: Final answer
    x = 6,026.75

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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.