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Finding the Fourth Proportional to 12,072.09, 16,661.06 and 6,768.01

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Solution

The fourth proportional to 12,072.09, 16,661.06 and 6,768.01 is: 9,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.09 : 16,661.06 = 6,768.01 : x
  2. Step 2: Convert to fraction form
    12,072.09/16,661.06 = 6,768.01/x
  3. Step 3: Cross multiply
    12,072.09x = 16,661.06 × 6,768.01
  4. Step 4: Simplify right side
    12,072.09x = 112,762,220.69
  5. Step 5: Solve for x
    x = 112,762,220.69/12,072.09
  6. Step 6: Final answer
    x = 9,340.74

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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.