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Finding the Fourth Proportional to 11,404.26, 17,094.75 and 6,463.46

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Solution

The fourth proportional to 11,404.26, 17,094.75 and 6,463.46 is: 9,688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.26 : 17,094.75 = 6,463.46 : x
  2. Step 2: Convert to fraction form
    11,404.26/17,094.75 = 6,463.46/x
  3. Step 3: Cross multiply
    11,404.26x = 17,094.75 × 6,463.46
  4. Step 4: Simplify right side
    11,404.26x = 110,491,232.84
  5. Step 5: Solve for x
    x = 110,491,232.84/11,404.26
  6. Step 6: Final answer
    x = 9,688.59

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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.