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Finding the Fourth Proportional to 11,977.11, 17,965.05 and 4,581

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Solution

The fourth proportional to 11,977.11, 17,965.05 and 4,581 is: 6,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.11 : 17,965.05 = 4,581 : x
  2. Step 2: Convert to fraction form
    11,977.11/17,965.05 = 4,581/x
  3. Step 3: Cross multiply
    11,977.11x = 17,965.05 × 4,581
  4. Step 4: Simplify right side
    11,977.11x = 82,297,894.05
  5. Step 5: Solve for x
    x = 82,297,894.05/11,977.11
  6. Step 6: Final answer
    x = 6,871.26

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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.