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Finding the Fourth Proportional to 11,486.46, 17,219.54 and 6,794.94

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Solution

The fourth proportional to 11,486.46, 17,219.54 and 6,794.94 is: 10,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.46 : 17,219.54 = 6,794.94 : x
  2. Step 2: Convert to fraction form
    11,486.46/17,219.54 = 6,794.94/x
  3. Step 3: Cross multiply
    11,486.46x = 17,219.54 × 6,794.94
  4. Step 4: Simplify right side
    11,486.46x = 117,005,741.13
  5. Step 5: Solve for x
    x = 117,005,741.13/11,486.46
  6. Step 6: Final answer
    x = 10,186.41

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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.