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Finding the Fourth Proportional to 11,783.91, 17,674.95 and 6,850.41

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Solution

The fourth proportional to 11,783.91, 17,674.95 and 6,850.41 is: 10,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.91 : 17,674.95 = 6,850.41 : x
  2. Step 2: Convert to fraction form
    11,783.91/17,674.95 = 6,850.41/x
  3. Step 3: Cross multiply
    11,783.91x = 17,674.95 × 6,850.41
  4. Step 4: Simplify right side
    11,783.91x = 121,080,654.23
  5. Step 5: Solve for x
    x = 121,080,654.23/11,783.91
  6. Step 6: Final answer
    x = 10,275.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.