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Finding the Fourth Proportional to 6,976.01, 10,463.96 and 2,813.07

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Solution

The fourth proportional to 6,976.01, 10,463.96 and 2,813.07 is: 4,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.01 : 10,463.96 = 2,813.07 : x
  2. Step 2: Convert to fraction form
    6,976.01/10,463.96 = 2,813.07/x
  3. Step 3: Cross multiply
    6,976.01x = 10,463.96 × 2,813.07
  4. Step 4: Simplify right side
    6,976.01x = 29,435,837.89
  5. Step 5: Solve for x
    x = 29,435,837.89/6,976.01
  6. Step 6: Final answer
    x = 4,219.58

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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.