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Finding the Fourth Proportional to 11,794.66, 16,253.75 and 11,023.74

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Solution

The fourth proportional to 11,794.66, 16,253.75 and 11,023.74 is: 15,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.66 : 16,253.75 = 11,023.74 : x
  2. Step 2: Convert to fraction form
    11,794.66/16,253.75 = 11,023.74/x
  3. Step 3: Cross multiply
    11,794.66x = 16,253.75 × 11,023.74
  4. Step 4: Simplify right side
    11,794.66x = 179,177,141.58
  5. Step 5: Solve for x
    x = 179,177,141.58/11,794.66
  6. Step 6: Final answer
    x = 15,191.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.