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Finding the Fourth Proportional to 8,163.83, 11,267.85 and 4,978.19

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Solution

The fourth proportional to 8,163.83, 11,267.85 and 4,978.19 is: 6,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.83 : 11,267.85 = 4,978.19 : x
  2. Step 2: Convert to fraction form
    8,163.83/11,267.85 = 4,978.19/x
  3. Step 3: Cross multiply
    8,163.83x = 11,267.85 × 4,978.19
  4. Step 4: Simplify right side
    8,163.83x = 56,093,441.85
  5. Step 5: Solve for x
    x = 56,093,441.85/8,163.83
  6. Step 6: Final answer
    x = 6,870.98

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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.