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Finding the Fourth Proportional to 11,786.76, 17,693.02 and 8,041.32

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Solution

The fourth proportional to 11,786.76, 17,693.02 and 8,041.32 is: 12,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.76 : 17,693.02 = 8,041.32 : x
  2. Step 2: Convert to fraction form
    11,786.76/17,693.02 = 8,041.32/x
  3. Step 3: Cross multiply
    11,786.76x = 17,693.02 × 8,041.32
  4. Step 4: Simplify right side
    11,786.76x = 142,275,235.59
  5. Step 5: Solve for x
    x = 142,275,235.59/11,786.76
  6. Step 6: Final answer
    x = 12,070.77

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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.