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Finding the Fourth Proportional to 8,075.85, 11,149.83 and 5,205.87

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Solution

The fourth proportional to 8,075.85, 11,149.83 and 5,205.87 is: 7,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.85 : 11,149.83 = 5,205.87 : x
  2. Step 2: Convert to fraction form
    8,075.85/11,149.83 = 5,205.87/x
  3. Step 3: Cross multiply
    8,075.85x = 11,149.83 × 5,205.87
  4. Step 4: Simplify right side
    8,075.85x = 58,044,565.50
  5. Step 5: Solve for x
    x = 58,044,565.50/8,075.85
  6. Step 6: Final answer
    x = 7,187.42

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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.