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Finding the Fourth Proportional to 6,807.82, 10,212.35 and 2,648.14

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Solution

The fourth proportional to 6,807.82, 10,212.35 and 2,648.14 is: 3,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.82 : 10,212.35 = 2,648.14 : x
  2. Step 2: Convert to fraction form
    6,807.82/10,212.35 = 2,648.14/x
  3. Step 3: Cross multiply
    6,807.82x = 10,212.35 × 2,648.14
  4. Step 4: Simplify right side
    6,807.82x = 27,043,732.53
  5. Step 5: Solve for x
    x = 27,043,732.53/6,807.82
  6. Step 6: Final answer
    x = 3,972.45

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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.