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Finding the Fourth Proportional to 10,651.84, 15,977.41 and 3,256

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Solution

The fourth proportional to 10,651.84, 15,977.41 and 3,256 is: 4,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.84 : 15,977.41 = 3,256 : x
  2. Step 2: Convert to fraction form
    10,651.84/15,977.41 = 3,256/x
  3. Step 3: Cross multiply
    10,651.84x = 15,977.41 × 3,256
  4. Step 4: Simplify right side
    10,651.84x = 52,022,446.96
  5. Step 5: Solve for x
    x = 52,022,446.96/10,651.84
  6. Step 6: Final answer
    x = 4,883.89

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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.