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Finding the Fourth Proportional to 8,536, 11,782.92 and 5,743.12

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Solution

The fourth proportional to 8,536, 11,782.92 and 5,743.12 is: 7,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536 : 11,782.92 = 5,743.12 : x
  2. Step 2: Convert to fraction form
    8,536/11,782.92 = 5,743.12/x
  3. Step 3: Cross multiply
    8,536x = 11,782.92 × 5,743.12
  4. Step 4: Simplify right side
    8,536x = 67,670,723.51
  5. Step 5: Solve for x
    x = 67,670,723.51/8,536
  6. Step 6: Final answer
    x = 7,927.69

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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.