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Finding the Fourth Proportional to 7,706.40, 10,634.83 and 4,169.61

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Solution

The fourth proportional to 7,706.40, 10,634.83 and 4,169.61 is: 5,754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.40 : 10,634.83 = 4,169.61 : x
  2. Step 2: Convert to fraction form
    7,706.40/10,634.83 = 4,169.61/x
  3. Step 3: Cross multiply
    7,706.40x = 10,634.83 × 4,169.61
  4. Step 4: Simplify right side
    7,706.40x = 44,343,135.74
  5. Step 5: Solve for x
    x = 44,343,135.74/7,706.40
  6. Step 6: Final answer
    x = 5,754.07

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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.