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Finding the Fourth Proportional to 8,536.25, 11,782.67 and 5,000.60

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Solution

The fourth proportional to 8,536.25, 11,782.67 and 5,000.60 is: 6,902.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.25 : 11,782.67 = 5,000.60 : x
  2. Step 2: Convert to fraction form
    8,536.25/11,782.67 = 5,000.60/x
  3. Step 3: Cross multiply
    8,536.25x = 11,782.67 × 5,000.60
  4. Step 4: Simplify right side
    8,536.25x = 58,920,424.06
  5. Step 5: Solve for x
    x = 58,920,424.06/8,536.25
  6. Step 6: Final answer
    x = 6,902.38

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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.