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Finding the Fourth Proportional to 11,768.70, 16,239.03 and 6,731.10

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Solution

The fourth proportional to 11,768.70, 16,239.03 and 6,731.10 is: 9,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.70 : 16,239.03 = 6,731.10 : x
  2. Step 2: Convert to fraction form
    11,768.70/16,239.03 = 6,731.10/x
  3. Step 3: Cross multiply
    11,768.70x = 16,239.03 × 6,731.10
  4. Step 4: Simplify right side
    11,768.70x = 109,306,534.83
  5. Step 5: Solve for x
    x = 109,306,534.83/11,768.70
  6. Step 6: Final answer
    x = 9,287.90

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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.