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Finding the Fourth Proportional to 11,406.52, 17,113.02 and 8,043.40

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Solution

The fourth proportional to 11,406.52, 17,113.02 and 8,043.40 is: 12,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.52 : 17,113.02 = 8,043.40 : x
  2. Step 2: Convert to fraction form
    11,406.52/17,113.02 = 8,043.40/x
  3. Step 3: Cross multiply
    11,406.52x = 17,113.02 × 8,043.40
  4. Step 4: Simplify right side
    11,406.52x = 137,646,865.07
  5. Step 5: Solve for x
    x = 137,646,865.07/11,406.52
  6. Step 6: Final answer
    x = 12,067.38

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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.