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Finding the Fourth Proportional to 8,533, 12,801.12 and 3,916

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Solution

The fourth proportional to 8,533, 12,801.12 and 3,916 is: 5,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533 : 12,801.12 = 3,916 : x
  2. Step 2: Convert to fraction form
    8,533/12,801.12 = 3,916/x
  3. Step 3: Cross multiply
    8,533x = 12,801.12 × 3,916
  4. Step 4: Simplify right side
    8,533x = 50,129,185.92
  5. Step 5: Solve for x
    x = 50,129,185.92/8,533
  6. Step 6: Final answer
    x = 5,874.74

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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.