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Finding the Fourth Proportional to 7,865.84, 11,794.23 and 4,706.43

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Solution

The fourth proportional to 7,865.84, 11,794.23 and 4,706.43 is: 7,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.84 : 11,794.23 = 4,706.43 : x
  2. Step 2: Convert to fraction form
    7,865.84/11,794.23 = 4,706.43/x
  3. Step 3: Cross multiply
    7,865.84x = 11,794.23 × 4,706.43
  4. Step 4: Simplify right side
    7,865.84x = 55,508,717.90
  5. Step 5: Solve for x
    x = 55,508,717.90/7,865.84
  6. Step 6: Final answer
    x = 7,056.94

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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.