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Finding the Fourth Proportional to 11,396, 17,094.52 and 3,497.94

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Solution

The fourth proportional to 11,396, 17,094.52 and 3,497.94 is: 5,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396 : 17,094.52 = 3,497.94 : x
  2. Step 2: Convert to fraction form
    11,396/17,094.52 = 3,497.94/x
  3. Step 3: Cross multiply
    11,396x = 17,094.52 × 3,497.94
  4. Step 4: Simplify right side
    11,396x = 59,795,605.29
  5. Step 5: Solve for x
    x = 59,795,605.29/11,396
  6. Step 6: Final answer
    x = 5,247.07

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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.