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Finding the Fourth Proportional to 8,500.26, 11,731.06 and 4,774.98

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Solution

The fourth proportional to 8,500.26, 11,731.06 and 4,774.98 is: 6,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.26 : 11,731.06 = 4,774.98 : x
  2. Step 2: Convert to fraction form
    8,500.26/11,731.06 = 4,774.98/x
  3. Step 3: Cross multiply
    8,500.26x = 11,731.06 × 4,774.98
  4. Step 4: Simplify right side
    8,500.26x = 56,015,576.88
  5. Step 5: Solve for x
    x = 56,015,576.88/8,500.26
  6. Step 6: Final answer
    x = 6,589.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.