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Finding the Fourth Proportional to 11,340.86, 17,022.06 and 6,966.86

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Solution

The fourth proportional to 11,340.86, 17,022.06 and 6,966.86 is: 10,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.86 : 17,022.06 = 6,966.86 : x
  2. Step 2: Convert to fraction form
    11,340.86/17,022.06 = 6,966.86/x
  3. Step 3: Cross multiply
    11,340.86x = 17,022.06 × 6,966.86
  4. Step 4: Simplify right side
    11,340.86x = 118,590,308.93
  5. Step 5: Solve for x
    x = 118,590,308.93/11,340.86
  6. Step 6: Final answer
    x = 10,456.91

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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.