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Finding the Fourth Proportional to 8,920.04, 12,311.72 and 5,936

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Solution

The fourth proportional to 8,920.04, 12,311.72 and 5,936 is: 8,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.04 : 12,311.72 = 5,936 : x
  2. Step 2: Convert to fraction form
    8,920.04/12,311.72 = 5,936/x
  3. Step 3: Cross multiply
    8,920.04x = 12,311.72 × 5,936
  4. Step 4: Simplify right side
    8,920.04x = 73,082,369.92
  5. Step 5: Solve for x
    x = 73,082,369.92/8,920.04
  6. Step 6: Final answer
    x = 8,193.05

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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.