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Finding the Fourth Proportional to 6,778.49, 10,167.65 and 1,848.09

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Solution

The fourth proportional to 6,778.49, 10,167.65 and 1,848.09 is: 2,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.49 : 10,167.65 = 1,848.09 : x
  2. Step 2: Convert to fraction form
    6,778.49/10,167.65 = 1,848.09/x
  3. Step 3: Cross multiply
    6,778.49x = 10,167.65 × 1,848.09
  4. Step 4: Simplify right side
    6,778.49x = 18,790,744.71
  5. Step 5: Solve for x
    x = 18,790,744.71/6,778.49
  6. Step 6: Final answer
    x = 2,772.12

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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.