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Finding the Fourth Proportional to 7,706.58, 11,559.90 and 1,863.18

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Solution

The fourth proportional to 7,706.58, 11,559.90 and 1,863.18 is: 2,794.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.58 : 11,559.90 = 1,863.18 : x
  2. Step 2: Convert to fraction form
    7,706.58/11,559.90 = 1,863.18/x
  3. Step 3: Cross multiply
    7,706.58x = 11,559.90 × 1,863.18
  4. Step 4: Simplify right side
    7,706.58x = 21,538,174.48
  5. Step 5: Solve for x
    x = 21,538,174.48/7,706.58
  6. Step 6: Final answer
    x = 2,794.78

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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.