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Finding the Fourth Proportional to 11,643.68, 17,461.74 and 5,067.92

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Solution

The fourth proportional to 11,643.68, 17,461.74 and 5,067.92 is: 7,600.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.68 : 17,461.74 = 5,067.92 : x
  2. Step 2: Convert to fraction form
    11,643.68/17,461.74 = 5,067.92/x
  3. Step 3: Cross multiply
    11,643.68x = 17,461.74 × 5,067.92
  4. Step 4: Simplify right side
    11,643.68x = 88,494,701.38
  5. Step 5: Solve for x
    x = 88,494,701.38/11,643.68
  6. Step 6: Final answer
    x = 7,600.23

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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.