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Finding the Fourth Proportional to 7,071.24, 9,761.97 and 4,984.68

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Solution

The fourth proportional to 7,071.24, 9,761.97 and 4,984.68 is: 6,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.24 : 9,761.97 = 4,984.68 : x
  2. Step 2: Convert to fraction form
    7,071.24/9,761.97 = 4,984.68/x
  3. Step 3: Cross multiply
    7,071.24x = 9,761.97 × 4,984.68
  4. Step 4: Simplify right side
    7,071.24x = 48,660,296.62
  5. Step 5: Solve for x
    x = 48,660,296.62/7,071.24
  6. Step 6: Final answer
    x = 6,881.44

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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.