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Finding the Fourth Proportional to 12,083.92, 16,672.56 and 7,364.88

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Solution

The fourth proportional to 12,083.92, 16,672.56 and 7,364.88 is: 10,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.92 : 16,672.56 = 7,364.88 : x
  2. Step 2: Convert to fraction form
    12,083.92/16,672.56 = 7,364.88/x
  3. Step 3: Cross multiply
    12,083.92x = 16,672.56 × 7,364.88
  4. Step 4: Simplify right side
    12,083.92x = 122,791,403.69
  5. Step 5: Solve for x
    x = 122,791,403.69/12,083.92
  6. Step 6: Final answer
    x = 10,161.55

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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.