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Finding the Fourth Proportional to 11,720.14, 17,579.30 and 4,323.22

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Solution

The fourth proportional to 11,720.14, 17,579.30 and 4,323.22 is: 6,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.14 : 17,579.30 = 4,323.22 : x
  2. Step 2: Convert to fraction form
    11,720.14/17,579.30 = 4,323.22/x
  3. Step 3: Cross multiply
    11,720.14x = 17,579.30 × 4,323.22
  4. Step 4: Simplify right side
    11,720.14x = 75,999,181.35
  5. Step 5: Solve for x
    x = 75,999,181.35/11,720.14
  6. Step 6: Final answer
    x = 6,484.49

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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.