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Finding the Fourth Proportional to 7,673.97, 11,513.39 and 2,743.50

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Solution

The fourth proportional to 7,673.97, 11,513.39 and 2,743.50 is: 4,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.97 : 11,513.39 = 2,743.50 : x
  2. Step 2: Convert to fraction form
    7,673.97/11,513.39 = 2,743.50/x
  3. Step 3: Cross multiply
    7,673.97x = 11,513.39 × 2,743.50
  4. Step 4: Simplify right side
    7,673.97x = 31,586,971.75
  5. Step 5: Solve for x
    x = 31,586,971.75/7,673.97
  6. Step 6: Final answer
    x = 4,116.12

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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.