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Finding the Fourth Proportional to 8,511.23, 11,745.42 and 4,734.74

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Solution

The fourth proportional to 8,511.23, 11,745.42 and 4,734.74 is: 6,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.23 : 11,745.42 = 4,734.74 : x
  2. Step 2: Convert to fraction form
    8,511.23/11,745.42 = 4,734.74/x
  3. Step 3: Cross multiply
    8,511.23x = 11,745.42 × 4,734.74
  4. Step 4: Simplify right side
    8,511.23x = 55,611,451.16
  5. Step 5: Solve for x
    x = 55,611,451.16/8,511.23
  6. Step 6: Final answer
    x = 6,533.90

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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.