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Finding the Fourth Proportional to 7,706.27, 10,634.69 and 4,349.23

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Solution

The fourth proportional to 7,706.27, 10,634.69 and 4,349.23 is: 6,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.27 : 10,634.69 = 4,349.23 : x
  2. Step 2: Convert to fraction form
    7,706.27/10,634.69 = 4,349.23/x
  3. Step 3: Cross multiply
    7,706.27x = 10,634.69 × 4,349.23
  4. Step 4: Simplify right side
    7,706.27x = 46,252,697.08
  5. Step 5: Solve for x
    x = 46,252,697.08/7,706.27
  6. Step 6: Final answer
    x = 6,001.95

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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.