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Finding the Fourth Proportional to 11,354.72, 17,035 and 3,563.60

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Solution

The fourth proportional to 11,354.72, 17,035 and 3,563.60 is: 5,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.72 : 17,035 = 3,563.60 : x
  2. Step 2: Convert to fraction form
    11,354.72/17,035 = 3,563.60/x
  3. Step 3: Cross multiply
    11,354.72x = 17,035 × 3,563.60
  4. Step 4: Simplify right side
    11,354.72x = 60,705,926
  5. Step 5: Solve for x
    x = 60,705,926/11,354.72
  6. Step 6: Final answer
    x = 5,346.32

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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.