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Finding the Fourth Proportional to 6,963.36, 10,442.79 and 2,282.10

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Solution

The fourth proportional to 6,963.36, 10,442.79 and 2,282.10 is: 3,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.36 : 10,442.79 = 2,282.10 : x
  2. Step 2: Convert to fraction form
    6,963.36/10,442.79 = 2,282.10/x
  3. Step 3: Cross multiply
    6,963.36x = 10,442.79 × 2,282.10
  4. Step 4: Simplify right side
    6,963.36x = 23,831,491.06
  5. Step 5: Solve for x
    x = 23,831,491.06/6,963.36
  6. Step 6: Final answer
    x = 3,422.41

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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.