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Finding the Fourth Proportional to 8,536.98, 11,770.38 and 7,122.72

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Solution

The fourth proportional to 8,536.98, 11,770.38 and 7,122.72 is: 9,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.98 : 11,770.38 = 7,122.72 : x
  2. Step 2: Convert to fraction form
    8,536.98/11,770.38 = 7,122.72/x
  3. Step 3: Cross multiply
    8,536.98x = 11,770.38 × 7,122.72
  4. Step 4: Simplify right side
    8,536.98x = 83,837,121.03
  5. Step 5: Solve for x
    x = 83,837,121.03/8,536.98
  6. Step 6: Final answer
    x = 9,820.47

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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.