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Finding the Fourth Proportional to 11,646.96, 17,469.48 and 3,853.20

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Solution

The fourth proportional to 11,646.96, 17,469.48 and 3,853.20 is: 5,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.96 : 17,469.48 = 3,853.20 : x
  2. Step 2: Convert to fraction form
    11,646.96/17,469.48 = 3,853.20/x
  3. Step 3: Cross multiply
    11,646.96x = 17,469.48 × 3,853.20
  4. Step 4: Simplify right side
    11,646.96x = 67,313,400.34
  5. Step 5: Solve for x
    x = 67,313,400.34/11,646.96
  6. Step 6: Final answer
    x = 5,779.48

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