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Finding the Fourth Proportional to 8,511, 11,745.18 and 4,977.18

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Solution

The fourth proportional to 8,511, 11,745.18 and 4,977.18 is: 6,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511 : 11,745.18 = 4,977.18 : x
  2. Step 2: Convert to fraction form
    8,511/11,745.18 = 4,977.18/x
  3. Step 3: Cross multiply
    8,511x = 11,745.18 × 4,977.18
  4. Step 4: Simplify right side
    8,511x = 58,457,874.99
  5. Step 5: Solve for x
    x = 58,457,874.99/8,511
  6. Step 6: Final answer
    x = 6,868.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.