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Finding the Fourth Proportional to 7,706.81, 11,560.25 and 2,512.69

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Solution

The fourth proportional to 7,706.81, 11,560.25 and 2,512.69 is: 3,769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.81 : 11,560.25 = 2,512.69 : x
  2. Step 2: Convert to fraction form
    7,706.81/11,560.25 = 2,512.69/x
  3. Step 3: Cross multiply
    7,706.81x = 11,560.25 × 2,512.69
  4. Step 4: Simplify right side
    7,706.81x = 29,047,301.95
  5. Step 5: Solve for x
    x = 29,047,301.95/7,706.81
  6. Step 6: Final answer
    x = 3,769.04

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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.