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Finding the Fourth Proportional to 7,706.80, 10,633.39 and 4,721.56

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Solution

The fourth proportional to 7,706.80, 10,633.39 and 4,721.56 is: 6,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.80 : 10,633.39 = 4,721.56 : x
  2. Step 2: Convert to fraction form
    7,706.80/10,633.39 = 4,721.56/x
  3. Step 3: Cross multiply
    7,706.80x = 10,633.39 × 4,721.56
  4. Step 4: Simplify right side
    7,706.80x = 50,206,188.89
  5. Step 5: Solve for x
    x = 50,206,188.89/7,706.80
  6. Step 6: Final answer
    x = 6,514.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.