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Finding the Fourth Proportional to 11,464.83, 17,168.09 and 10,502.55

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Solution

The fourth proportional to 11,464.83, 17,168.09 and 10,502.55 is: 15,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.83 : 17,168.09 = 10,502.55 : x
  2. Step 2: Convert to fraction form
    11,464.83/17,168.09 = 10,502.55/x
  3. Step 3: Cross multiply
    11,464.83x = 17,168.09 × 10,502.55
  4. Step 4: Simplify right side
    11,464.83x = 180,308,671.12
  5. Step 5: Solve for x
    x = 180,308,671.12/11,464.83
  6. Step 6: Final answer
    x = 15,727.11

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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.