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Finding the Fourth Proportional to 6,997.64, 10,509.42 and 5,546.12

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Solution

The fourth proportional to 6,997.64, 10,509.42 and 5,546.12 is: 8,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.64 : 10,509.42 = 5,546.12 : x
  2. Step 2: Convert to fraction form
    6,997.64/10,509.42 = 5,546.12/x
  3. Step 3: Cross multiply
    6,997.64x = 10,509.42 × 5,546.12
  4. Step 4: Simplify right side
    6,997.64x = 58,286,504.45
  5. Step 5: Solve for x
    x = 58,286,504.45/6,997.64
  6. Step 6: Final answer
    x = 8,329.45

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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.