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Finding the Fourth Proportional to 6,709.24, 10,064.64 and 3,244

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Solution

The fourth proportional to 6,709.24, 10,064.64 and 3,244 is: 4,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.24 : 10,064.64 = 3,244 : x
  2. Step 2: Convert to fraction form
    6,709.24/10,064.64 = 3,244/x
  3. Step 3: Cross multiply
    6,709.24x = 10,064.64 × 3,244
  4. Step 4: Simplify right side
    6,709.24x = 32,649,692.16
  5. Step 5: Solve for x
    x = 32,649,692.16/6,709.24
  6. Step 6: Final answer
    x = 4,866.38

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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.