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Finding the Fourth Proportional to 7,674.10, 11,513.58 and 2,743.63

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Solution

The fourth proportional to 7,674.10, 11,513.58 and 2,743.63 is: 4,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.10 : 11,513.58 = 2,743.63 : x
  2. Step 2: Convert to fraction form
    7,674.10/11,513.58 = 2,743.63/x
  3. Step 3: Cross multiply
    7,674.10x = 11,513.58 × 2,743.63
  4. Step 4: Simplify right side
    7,674.10x = 31,589,003.50
  5. Step 5: Solve for x
    x = 31,589,003.50/7,674.10
  6. Step 6: Final answer
    x = 4,116.31

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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.