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Finding the Fourth Proportional to 11,396.24, 17,094 and 4,820.64

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Solution

The fourth proportional to 11,396.24, 17,094 and 4,820.64 is: 7,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.24 : 17,094 = 4,820.64 : x
  2. Step 2: Convert to fraction form
    11,396.24/17,094 = 4,820.64/x
  3. Step 3: Cross multiply
    11,396.24x = 17,094 × 4,820.64
  4. Step 4: Simplify right side
    11,396.24x = 82,404,020.16
  5. Step 5: Solve for x
    x = 82,404,020.16/11,396.24
  6. Step 6: Final answer
    x = 7,230.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.