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Finding the Fourth Proportional to 6,744.64, 10,118.16 and 2,362.24

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Solution

The fourth proportional to 6,744.64, 10,118.16 and 2,362.24 is: 3,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.64 : 10,118.16 = 2,362.24 : x
  2. Step 2: Convert to fraction form
    6,744.64/10,118.16 = 2,362.24/x
  3. Step 3: Cross multiply
    6,744.64x = 10,118.16 × 2,362.24
  4. Step 4: Simplify right side
    6,744.64x = 23,901,522.28
  5. Step 5: Solve for x
    x = 23,901,522.28/6,744.64
  6. Step 6: Final answer
    x = 3,543.78

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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.