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Finding the Fourth Proportional to 11,966.86, 17,906.55 and 7,038.82

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Solution

The fourth proportional to 11,966.86, 17,906.55 and 7,038.82 is: 10,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.86 : 17,906.55 = 7,038.82 : x
  2. Step 2: Convert to fraction form
    11,966.86/17,906.55 = 7,038.82/x
  3. Step 3: Cross multiply
    11,966.86x = 17,906.55 × 7,038.82
  4. Step 4: Simplify right side
    11,966.86x = 126,040,982.27
  5. Step 5: Solve for x
    x = 126,040,982.27/11,966.86
  6. Step 6: Final answer
    x = 10,532.50

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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.