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Finding the Fourth Proportional to 7,071.37, 9,757.92 and 4,087.40

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Solution

The fourth proportional to 7,071.37, 9,757.92 and 4,087.40 is: 5,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.37 : 9,757.92 = 4,087.40 : x
  2. Step 2: Convert to fraction form
    7,071.37/9,757.92 = 4,087.40/x
  3. Step 3: Cross multiply
    7,071.37x = 9,757.92 × 4,087.40
  4. Step 4: Simplify right side
    7,071.37x = 39,884,458.09
  5. Step 5: Solve for x
    x = 39,884,458.09/7,071.37
  6. Step 6: Final answer
    x = 5,640.28

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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.