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Finding the Fourth Proportional to 7,380.84, 11,075.82 and 4,267

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Solution

The fourth proportional to 7,380.84, 11,075.82 and 4,267 is: 6,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.84 : 11,075.82 = 4,267 : x
  2. Step 2: Convert to fraction form
    7,380.84/11,075.82 = 4,267/x
  3. Step 3: Cross multiply
    7,380.84x = 11,075.82 × 4,267
  4. Step 4: Simplify right side
    7,380.84x = 47,260,523.94
  5. Step 5: Solve for x
    x = 47,260,523.94/7,380.84
  6. Step 6: Final answer
    x = 6,403.14

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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.