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Finding the Fourth Proportional to 7,737.94, 11,606.96 and 1,894.57

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Solution

The fourth proportional to 7,737.94, 11,606.96 and 1,894.57 is: 2,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.94 : 11,606.96 = 1,894.57 : x
  2. Step 2: Convert to fraction form
    7,737.94/11,606.96 = 1,894.57/x
  3. Step 3: Cross multiply
    7,737.94x = 11,606.96 × 1,894.57
  4. Step 4: Simplify right side
    7,737.94x = 21,990,198.21
  5. Step 5: Solve for x
    x = 21,990,198.21/7,737.94
  6. Step 6: Final answer
    x = 2,841.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.