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Finding the Fourth Proportional to 12,077.30, 16,665.72 and 6,770.96

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Solution

The fourth proportional to 12,077.30, 16,665.72 and 6,770.96 is: 9,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.30 : 16,665.72 = 6,770.96 : x
  2. Step 2: Convert to fraction form
    12,077.30/16,665.72 = 6,770.96/x
  3. Step 3: Cross multiply
    12,077.30x = 16,665.72 × 6,770.96
  4. Step 4: Simplify right side
    12,077.30x = 112,842,923.49
  5. Step 5: Solve for x
    x = 112,842,923.49/12,077.30
  6. Step 6: Final answer
    x = 9,343.39

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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.