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Finding the Fourth Proportional to 11,843.88, 17,768.95 and 5,268.64

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Solution

The fourth proportional to 11,843.88, 17,768.95 and 5,268.64 is: 7,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.88 : 17,768.95 = 5,268.64 : x
  2. Step 2: Convert to fraction form
    11,843.88/17,768.95 = 5,268.64/x
  3. Step 3: Cross multiply
    11,843.88x = 17,768.95 × 5,268.64
  4. Step 4: Simplify right side
    11,843.88x = 93,618,111.88
  5. Step 5: Solve for x
    x = 93,618,111.88/11,843.88
  6. Step 6: Final answer
    x = 7,904.35

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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.