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Finding the Fourth Proportional to 11,720.52, 17,578.44 and 3,398.40

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Solution

The fourth proportional to 11,720.52, 17,578.44 and 3,398.40 is: 5,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.52 : 17,578.44 = 3,398.40 : x
  2. Step 2: Convert to fraction form
    11,720.52/17,578.44 = 3,398.40/x
  3. Step 3: Cross multiply
    11,720.52x = 17,578.44 × 3,398.40
  4. Step 4: Simplify right side
    11,720.52x = 59,738,570.50
  5. Step 5: Solve for x
    x = 59,738,570.50/11,720.52
  6. Step 6: Final answer
    x = 5,096.92

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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.