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Finding the Fourth Proportional to 7,708.35, 10,634.67 and 5,696.61

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Solution

The fourth proportional to 7,708.35, 10,634.67 and 5,696.61 is: 7,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.35 : 10,634.67 = 5,696.61 : x
  2. Step 2: Convert to fraction form
    7,708.35/10,634.67 = 5,696.61/x
  3. Step 3: Cross multiply
    7,708.35x = 10,634.67 × 5,696.61
  4. Step 4: Simplify right side
    7,708.35x = 60,581,567.47
  5. Step 5: Solve for x
    x = 60,581,567.47/7,708.35
  6. Step 6: Final answer
    x = 7,859.21

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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.