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Finding the Fourth Proportional to 7,706.23, 10,634.92 and 4,349.05

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Solution

The fourth proportional to 7,706.23, 10,634.92 and 4,349.05 is: 6,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.23 : 10,634.92 = 4,349.05 : x
  2. Step 2: Convert to fraction form
    7,706.23/10,634.92 = 4,349.05/x
  3. Step 3: Cross multiply
    7,706.23x = 10,634.92 × 4,349.05
  4. Step 4: Simplify right side
    7,706.23x = 46,251,761.37
  5. Step 5: Solve for x
    x = 46,251,761.37/7,706.23
  6. Step 6: Final answer
    x = 6,001.87

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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.