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Finding the Fourth Proportional to 7,071.57, 10,609.07 and 2,140.92

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Solution

The fourth proportional to 7,071.57, 10,609.07 and 2,140.92 is: 3,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.57 : 10,609.07 = 2,140.92 : x
  2. Step 2: Convert to fraction form
    7,071.57/10,609.07 = 2,140.92/x
  3. Step 3: Cross multiply
    7,071.57x = 10,609.07 × 2,140.92
  4. Step 4: Simplify right side
    7,071.57x = 22,713,159.44
  5. Step 5: Solve for x
    x = 22,713,159.44/7,071.57
  6. Step 6: Final answer
    x = 3,211.90

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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.