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Finding the Fourth Proportional to 8,075.84, 12,113.72 and 2,232.44

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Solution

The fourth proportional to 8,075.84, 12,113.72 and 2,232.44 is: 3,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.84 : 12,113.72 = 2,232.44 : x
  2. Step 2: Convert to fraction form
    8,075.84/12,113.72 = 2,232.44/x
  3. Step 3: Cross multiply
    8,075.84x = 12,113.72 × 2,232.44
  4. Step 4: Simplify right side
    8,075.84x = 27,043,153.08
  5. Step 5: Solve for x
    x = 27,043,153.08/8,075.84
  6. Step 6: Final answer
    x = 3,348.65

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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.