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Finding the Fourth Proportional to 8,265.51, 11,382.93 and 7,270.43

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Solution

The fourth proportional to 8,265.51, 11,382.93 and 7,270.43 is: 10,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.51 : 11,382.93 = 7,270.43 : x
  2. Step 2: Convert to fraction form
    8,265.51/11,382.93 = 7,270.43/x
  3. Step 3: Cross multiply
    8,265.51x = 11,382.93 × 7,270.43
  4. Step 4: Simplify right side
    8,265.51x = 82,758,738.85
  5. Step 5: Solve for x
    x = 82,758,738.85/8,265.51
  6. Step 6: Final answer
    x = 10,012.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.