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Finding the Fourth Proportional to 7,071.90, 10,613.61 and 3,741.36

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Solution

The fourth proportional to 7,071.90, 10,613.61 and 3,741.36 is: 5,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.90 : 10,613.61 = 3,741.36 : x
  2. Step 2: Convert to fraction form
    7,071.90/10,613.61 = 3,741.36/x
  3. Step 3: Cross multiply
    7,071.90x = 10,613.61 × 3,741.36
  4. Step 4: Simplify right side
    7,071.90x = 39,709,335.91
  5. Step 5: Solve for x
    x = 39,709,335.91/7,071.90
  6. Step 6: Final answer
    x = 5,615.09

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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.