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Finding the Fourth Proportional to 12,091.92, 16,688.07 and 7,378.98

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Solution

The fourth proportional to 12,091.92, 16,688.07 and 7,378.98 is: 10,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.92 : 16,688.07 = 7,378.98 : x
  2. Step 2: Convert to fraction form
    12,091.92/16,688.07 = 7,378.98/x
  3. Step 3: Cross multiply
    12,091.92x = 16,688.07 × 7,378.98
  4. Step 4: Simplify right side
    12,091.92x = 123,140,934.77
  5. Step 5: Solve for x
    x = 123,140,934.77/12,091.92
  6. Step 6: Final answer
    x = 10,183.74

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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.