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Finding the Fourth Proportional to 8,577.34, 11,837.27 and 4,992.38

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Solution

The fourth proportional to 8,577.34, 11,837.27 and 4,992.38 is: 6,889.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.34 : 11,837.27 = 4,992.38 : x
  2. Step 2: Convert to fraction form
    8,577.34/11,837.27 = 4,992.38/x
  3. Step 3: Cross multiply
    8,577.34x = 11,837.27 × 4,992.38
  4. Step 4: Simplify right side
    8,577.34x = 59,096,065.85
  5. Step 5: Solve for x
    x = 59,096,065.85/8,577.34
  6. Step 6: Final answer
    x = 6,889.79

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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.