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Finding the Fourth Proportional to 12,072.60, 16,659.36 and 6,766.56

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Solution

The fourth proportional to 12,072.60, 16,659.36 and 6,766.56 is: 9,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.60 : 16,659.36 = 6,766.56 : x
  2. Step 2: Convert to fraction form
    12,072.60/16,659.36 = 6,766.56/x
  3. Step 3: Cross multiply
    12,072.60x = 16,659.36 × 6,766.56
  4. Step 4: Simplify right side
    12,072.60x = 112,726,559.00
  5. Step 5: Solve for x
    x = 112,726,559.00/12,072.60
  6. Step 6: Final answer
    x = 9,337.39

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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.