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Finding the Fourth Proportional to 8,534.12, 11,777.12 and 4,996.64

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Solution

The fourth proportional to 8,534.12, 11,777.12 and 4,996.64 is: 6,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.12 : 11,777.12 = 4,996.64 : x
  2. Step 2: Convert to fraction form
    8,534.12/11,777.12 = 4,996.64/x
  3. Step 3: Cross multiply
    8,534.12x = 11,777.12 × 4,996.64
  4. Step 4: Simplify right side
    8,534.12x = 58,846,028.88
  5. Step 5: Solve for x
    x = 58,846,028.88/8,534.12
  6. Step 6: Final answer
    x = 6,895.38

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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.