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Finding the Fourth Proportional to 6,783.11, 10,178.13 and 3,276.11

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Solution

The fourth proportional to 6,783.11, 10,178.13 and 3,276.11 is: 4,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.11 : 10,178.13 = 3,276.11 : x
  2. Step 2: Convert to fraction form
    6,783.11/10,178.13 = 3,276.11/x
  3. Step 3: Cross multiply
    6,783.11x = 10,178.13 × 3,276.11
  4. Step 4: Simplify right side
    6,783.11x = 33,344,622.58
  5. Step 5: Solve for x
    x = 33,344,622.58/6,783.11
  6. Step 6: Final answer
    x = 4,915.83

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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.