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Finding the Fourth Proportional to 12,036.49, 16,610.73 and 6,731.29

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Solution

The fourth proportional to 12,036.49, 16,610.73 and 6,731.29 is: 9,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036.49 : 16,610.73 = 6,731.29 : x
  2. Step 2: Convert to fraction form
    12,036.49/16,610.73 = 6,731.29/x
  3. Step 3: Cross multiply
    12,036.49x = 16,610.73 × 6,731.29
  4. Step 4: Simplify right side
    12,036.49x = 111,811,640.74
  5. Step 5: Solve for x
    x = 111,811,640.74/12,036.49
  6. Step 6: Final answer
    x = 9,289.39

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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.