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Finding the Fourth Proportional to 6,963.10, 10,448.06 and 3,453.44

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Solution

The fourth proportional to 6,963.10, 10,448.06 and 3,453.44 is: 5,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.10 : 10,448.06 = 3,453.44 : x
  2. Step 2: Convert to fraction form
    6,963.10/10,448.06 = 3,453.44/x
  3. Step 3: Cross multiply
    6,963.10x = 10,448.06 × 3,453.44
  4. Step 4: Simplify right side
    6,963.10x = 36,081,678.82
  5. Step 5: Solve for x
    x = 36,081,678.82/6,963.10
  6. Step 6: Final answer
    x = 5,181.84

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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.