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Finding the Fourth Proportional to 11,354.32, 17,027.16 and 5,194

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Solution

The fourth proportional to 11,354.32, 17,027.16 and 5,194 is: 7,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.32 : 17,027.16 = 5,194 : x
  2. Step 2: Convert to fraction form
    11,354.32/17,027.16 = 5,194/x
  3. Step 3: Cross multiply
    11,354.32x = 17,027.16 × 5,194
  4. Step 4: Simplify right side
    11,354.32x = 88,439,069.04
  5. Step 5: Solve for x
    x = 88,439,069.04/11,354.32
  6. Step 6: Final answer
    x = 7,789.02

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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.