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Finding the Fourth Proportional to 11,468.56, 17,202.30 and 4,538.20

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Solution

The fourth proportional to 11,468.56, 17,202.30 and 4,538.20 is: 6,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.56 : 17,202.30 = 4,538.20 : x
  2. Step 2: Convert to fraction form
    11,468.56/17,202.30 = 4,538.20/x
  3. Step 3: Cross multiply
    11,468.56x = 17,202.30 × 4,538.20
  4. Step 4: Simplify right side
    11,468.56x = 78,067,477.86
  5. Step 5: Solve for x
    x = 78,067,477.86/11,468.56
  6. Step 6: Final answer
    x = 6,807.09

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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.