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Finding the Fourth Proportional to 11,823.38, 16,311 and 6,786.39

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Solution

The fourth proportional to 11,823.38, 16,311 and 6,786.39 is: 9,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.38 : 16,311 = 6,786.39 : x
  2. Step 2: Convert to fraction form
    11,823.38/16,311 = 6,786.39/x
  3. Step 3: Cross multiply
    11,823.38x = 16,311 × 6,786.39
  4. Step 4: Simplify right side
    11,823.38x = 110,692,807.29
  5. Step 5: Solve for x
    x = 110,692,807.29/11,823.38
  6. Step 6: Final answer
    x = 9,362.20

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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.