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Finding the Fourth Proportional to 6,673.92, 10,011 and 1,743.26

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Solution

The fourth proportional to 6,673.92, 10,011 and 1,743.26 is: 2,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.92 : 10,011 = 1,743.26 : x
  2. Step 2: Convert to fraction form
    6,673.92/10,011 = 1,743.26/x
  3. Step 3: Cross multiply
    6,673.92x = 10,011 × 1,743.26
  4. Step 4: Simplify right side
    6,673.92x = 17,451,775.86
  5. Step 5: Solve for x
    x = 17,451,775.86/6,673.92
  6. Step 6: Final answer
    x = 2,614.92

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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.