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Finding the Fourth Proportional to 7,652.36, 11,482.97 and 3,209.63

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Solution

The fourth proportional to 7,652.36, 11,482.97 and 3,209.63 is: 4,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.36 : 11,482.97 = 3,209.63 : x
  2. Step 2: Convert to fraction form
    7,652.36/11,482.97 = 3,209.63/x
  3. Step 3: Cross multiply
    7,652.36x = 11,482.97 × 3,209.63
  4. Step 4: Simplify right side
    7,652.36x = 36,856,057.37
  5. Step 5: Solve for x
    x = 36,856,057.37/7,652.36
  6. Step 6: Final answer
    x = 4,816.30

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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.