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Finding the Fourth Proportional to 7,475.82, 11,206.80 and 3,313.62

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Solution

The fourth proportional to 7,475.82, 11,206.80 and 3,313.62 is: 4,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.82 : 11,206.80 = 3,313.62 : x
  2. Step 2: Convert to fraction form
    7,475.82/11,206.80 = 3,313.62/x
  3. Step 3: Cross multiply
    7,475.82x = 11,206.80 × 3,313.62
  4. Step 4: Simplify right side
    7,475.82x = 37,135,076.62
  5. Step 5: Solve for x
    x = 37,135,076.62/7,475.82
  6. Step 6: Final answer
    x = 4,967.36

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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.