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Finding the Fourth Proportional to 11,464.92, 17,200.62 and 3,674.28

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Solution

The fourth proportional to 11,464.92, 17,200.62 and 3,674.28 is: 5,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.92 : 17,200.62 = 3,674.28 : x
  2. Step 2: Convert to fraction form
    11,464.92/17,200.62 = 3,674.28/x
  3. Step 3: Cross multiply
    11,464.92x = 17,200.62 × 3,674.28
  4. Step 4: Simplify right side
    11,464.92x = 63,199,894.05
  5. Step 5: Solve for x
    x = 63,199,894.05/11,464.92
  6. Step 6: Final answer
    x = 5,512.46

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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.