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Finding the Fourth Proportional to 8,434.46, 11,639.67 and 4,849.94

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Solution

The fourth proportional to 8,434.46, 11,639.67 and 4,849.94 is: 6,692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.46 : 11,639.67 = 4,849.94 : x
  2. Step 2: Convert to fraction form
    8,434.46/11,639.67 = 4,849.94/x
  3. Step 3: Cross multiply
    8,434.46x = 11,639.67 × 4,849.94
  4. Step 4: Simplify right side
    8,434.46x = 56,451,712.03
  5. Step 5: Solve for x
    x = 56,451,712.03/8,434.46
  6. Step 6: Final answer
    x = 6,692.98

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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.