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Finding the Fourth Proportional to 6,783.71, 10,177.31 and 2,622.64

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Solution

The fourth proportional to 6,783.71, 10,177.31 and 2,622.64 is: 3,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.71 : 10,177.31 = 2,622.64 : x
  2. Step 2: Convert to fraction form
    6,783.71/10,177.31 = 2,622.64/x
  3. Step 3: Cross multiply
    6,783.71x = 10,177.31 × 2,622.64
  4. Step 4: Simplify right side
    6,783.71x = 26,691,401.41
  5. Step 5: Solve for x
    x = 26,691,401.41/6,783.71
  6. Step 6: Final answer
    x = 3,934.63

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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.