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Finding the Fourth Proportional to 11,566.62, 17,346.78 and 3,246.12

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Solution

The fourth proportional to 11,566.62, 17,346.78 and 3,246.12 is: 4,868.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.62 : 17,346.78 = 3,246.12 : x
  2. Step 2: Convert to fraction form
    11,566.62/17,346.78 = 3,246.12/x
  3. Step 3: Cross multiply
    11,566.62x = 17,346.78 × 3,246.12
  4. Step 4: Simplify right side
    11,566.62x = 56,309,729.49
  5. Step 5: Solve for x
    x = 56,309,729.49/11,566.62
  6. Step 6: Final answer
    x = 4,868.30

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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.