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Finding the Fourth Proportional to 7,174.42, 10,751.91 and 3,714.10

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Solution

The fourth proportional to 7,174.42, 10,751.91 and 3,714.10 is: 5,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.42 : 10,751.91 = 3,714.10 : x
  2. Step 2: Convert to fraction form
    7,174.42/10,751.91 = 3,714.10/x
  3. Step 3: Cross multiply
    7,174.42x = 10,751.91 × 3,714.10
  4. Step 4: Simplify right side
    7,174.42x = 39,933,668.93
  5. Step 5: Solve for x
    x = 39,933,668.93/7,174.42
  6. Step 6: Final answer
    x = 5,566.12

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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.