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Finding the Fourth Proportional to 11,464.97, 17,203.32 and 5,224.12

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Solution

The fourth proportional to 11,464.97, 17,203.32 and 5,224.12 is: 7,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.97 : 17,203.32 = 5,224.12 : x
  2. Step 2: Convert to fraction form
    11,464.97/17,203.32 = 5,224.12/x
  3. Step 3: Cross multiply
    11,464.97x = 17,203.32 × 5,224.12
  4. Step 4: Simplify right side
    11,464.97x = 89,872,165.07
  5. Step 5: Solve for x
    x = 89,872,165.07/11,464.97
  6. Step 6: Final answer
    x = 7,838.85

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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.