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Finding the Fourth Proportional to 7,071.45, 9,757.52 and 4,086.71

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Solution

The fourth proportional to 7,071.45, 9,757.52 and 4,086.71 is: 5,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.45 : 9,757.52 = 4,086.71 : x
  2. Step 2: Convert to fraction form
    7,071.45/9,757.52 = 4,086.71/x
  3. Step 3: Cross multiply
    7,071.45x = 9,757.52 × 4,086.71
  4. Step 4: Simplify right side
    7,071.45x = 39,876,085.34
  5. Step 5: Solve for x
    x = 39,876,085.34/7,071.45
  6. Step 6: Final answer
    x = 5,639.03

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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.