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Finding the Fourth Proportional to 8,442.32, 12,662.87 and 3,511.85

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Solution

The fourth proportional to 8,442.32, 12,662.87 and 3,511.85 is: 5,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.32 : 12,662.87 = 3,511.85 : x
  2. Step 2: Convert to fraction form
    8,442.32/12,662.87 = 3,511.85/x
  3. Step 3: Cross multiply
    8,442.32x = 12,662.87 × 3,511.85
  4. Step 4: Simplify right side
    8,442.32x = 44,470,019.14
  5. Step 5: Solve for x
    x = 44,470,019.14/8,442.32
  6. Step 6: Final answer
    x = 5,267.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.