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Finding the Fourth Proportional to 7,674.22, 11,513.76 and 2,743.75

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Solution

The fourth proportional to 7,674.22, 11,513.76 and 2,743.75 is: 4,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.22 : 11,513.76 = 2,743.75 : x
  2. Step 2: Convert to fraction form
    7,674.22/11,513.76 = 2,743.75/x
  3. Step 3: Cross multiply
    7,674.22x = 11,513.76 × 2,743.75
  4. Step 4: Simplify right side
    7,674.22x = 31,590,879
  5. Step 5: Solve for x
    x = 31,590,879/7,674.22
  6. Step 6: Final answer
    x = 4,116.49

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Why These Related Problems?

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