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Finding the Fourth Proportional to 7,706.76, 11,560.17 and 1,863.36

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Solution

The fourth proportional to 7,706.76, 11,560.17 and 1,863.36 is: 2,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.76 : 11,560.17 = 1,863.36 : x
  2. Step 2: Convert to fraction form
    7,706.76/11,560.17 = 1,863.36/x
  3. Step 3: Cross multiply
    7,706.76x = 11,560.17 × 1,863.36
  4. Step 4: Simplify right side
    7,706.76x = 21,540,758.37
  5. Step 5: Solve for x
    x = 21,540,758.37/7,706.76
  6. Step 6: Final answer
    x = 2,795.05

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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.