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Finding the Fourth Proportional to 11,672, 17,464.24 and 7,268.84

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Solution

The fourth proportional to 11,672, 17,464.24 and 7,268.84 is: 10,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672 : 17,464.24 = 7,268.84 : x
  2. Step 2: Convert to fraction form
    11,672/17,464.24 = 7,268.84/x
  3. Step 3: Cross multiply
    11,672x = 17,464.24 × 7,268.84
  4. Step 4: Simplify right side
    11,672x = 126,944,766.28
  5. Step 5: Solve for x
    x = 126,944,766.28/11,672
  6. Step 6: Final answer
    x = 10,876.01

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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.