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Finding the Fourth Proportional to 7,706.63, 11,561.76 and 2,512.50

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Solution

The fourth proportional to 7,706.63, 11,561.76 and 2,512.50 is: 3,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.63 : 11,561.76 = 2,512.50 : x
  2. Step 2: Convert to fraction form
    7,706.63/11,561.76 = 2,512.50/x
  3. Step 3: Cross multiply
    7,706.63x = 11,561.76 × 2,512.50
  4. Step 4: Simplify right side
    7,706.63x = 29,048,922
  5. Step 5: Solve for x
    x = 29,048,922/7,706.63
  6. Step 6: Final answer
    x = 3,769.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.