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Finding the Fourth Proportional to 7,071.44, 10,585.26 and 6,021.68

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Solution

The fourth proportional to 7,071.44, 10,585.26 and 6,021.68 is: 9,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.44 : 10,585.26 = 6,021.68 : x
  2. Step 2: Convert to fraction form
    7,071.44/10,585.26 = 6,021.68/x
  3. Step 3: Cross multiply
    7,071.44x = 10,585.26 × 6,021.68
  4. Step 4: Simplify right side
    7,071.44x = 63,741,048.44
  5. Step 5: Solve for x
    x = 63,741,048.44/7,071.44
  6. Step 6: Final answer
    x = 9,013.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.