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Finding the Fourth Proportional to 11,067.64, 16,603.93 and 4,047.50

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Solution

The fourth proportional to 11,067.64, 16,603.93 and 4,047.50 is: 6,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,067.64 : 16,603.93 = 4,047.50 : x
  2. Step 2: Convert to fraction form
    11,067.64/16,603.93 = 4,047.50/x
  3. Step 3: Cross multiply
    11,067.64x = 16,603.93 × 4,047.50
  4. Step 4: Simplify right side
    11,067.64x = 67,204,375.80
  5. Step 5: Solve for x
    x = 67,204,375.80/11,067.64
  6. Step 6: Final answer
    x = 6,072.15

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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.