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Finding the Fourth Proportional to 7,071.34, 9,760.73 and 5,087.66

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Solution

The fourth proportional to 7,071.34, 9,760.73 and 5,087.66 is: 7,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.34 : 9,760.73 = 5,087.66 : x
  2. Step 2: Convert to fraction form
    7,071.34/9,760.73 = 5,087.66/x
  3. Step 3: Cross multiply
    7,071.34x = 9,760.73 × 5,087.66
  4. Step 4: Simplify right side
    7,071.34x = 49,659,226.79
  5. Step 5: Solve for x
    x = 49,659,226.79/7,071.34
  6. Step 6: Final answer
    x = 7,022.61

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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.