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Finding the Fourth Proportional to 6,995.29, 10,485.93 and 3,249.71

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Solution

The fourth proportional to 6,995.29, 10,485.93 and 3,249.71 is: 4,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.29 : 10,485.93 = 3,249.71 : x
  2. Step 2: Convert to fraction form
    6,995.29/10,485.93 = 3,249.71/x
  3. Step 3: Cross multiply
    6,995.29x = 10,485.93 × 3,249.71
  4. Step 4: Simplify right side
    6,995.29x = 34,076,179.90
  5. Step 5: Solve for x
    x = 34,076,179.90/6,995.29
  6. Step 6: Final answer
    x = 4,871.30

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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.