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Finding the Fourth Proportional to 12,073.78, 16,661.46 and 6,768.82

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Solution

The fourth proportional to 12,073.78, 16,661.46 and 6,768.82 is: 9,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.78 : 16,661.46 = 6,768.82 : x
  2. Step 2: Convert to fraction form
    12,073.78/16,661.46 = 6,768.82/x
  3. Step 3: Cross multiply
    12,073.78x = 16,661.46 × 6,768.82
  4. Step 4: Simplify right side
    12,073.78x = 112,778,423.68
  5. Step 5: Solve for x
    x = 112,778,423.68/12,073.78
  6. Step 6: Final answer
    x = 9,340.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.