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Finding the Fourth Proportional to 7,706.50, 11,564.80 and 4,786.86

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Solution

The fourth proportional to 7,706.50, 11,564.80 and 4,786.86 is: 7,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.50 : 11,564.80 = 4,786.86 : x
  2. Step 2: Convert to fraction form
    7,706.50/11,564.80 = 4,786.86/x
  3. Step 3: Cross multiply
    7,706.50x = 11,564.80 × 4,786.86
  4. Step 4: Simplify right side
    7,706.50x = 55,359,078.53
  5. Step 5: Solve for x
    x = 55,359,078.53/7,706.50
  6. Step 6: Final answer
    x = 7,183.43

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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.