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Finding the Fourth Proportional to 8,340.26, 12,511.16 and 3,075.05

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Solution

The fourth proportional to 8,340.26, 12,511.16 and 3,075.05 is: 4,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.26 : 12,511.16 = 3,075.05 : x
  2. Step 2: Convert to fraction form
    8,340.26/12,511.16 = 3,075.05/x
  3. Step 3: Cross multiply
    8,340.26x = 12,511.16 × 3,075.05
  4. Step 4: Simplify right side
    8,340.26x = 38,472,469.99
  5. Step 5: Solve for x
    x = 38,472,469.99/8,340.26
  6. Step 6: Final answer
    x = 4,612.86

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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.