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Finding the Fourth Proportional to 7,767.80, 11,649.60 and 3,384.20

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Solution

The fourth proportional to 7,767.80, 11,649.60 and 3,384.20 is: 5,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.80 : 11,649.60 = 3,384.20 : x
  2. Step 2: Convert to fraction form
    7,767.80/11,649.60 = 3,384.20/x
  3. Step 3: Cross multiply
    7,767.80x = 11,649.60 × 3,384.20
  4. Step 4: Simplify right side
    7,767.80x = 39,424,576.32
  5. Step 5: Solve for x
    x = 39,424,576.32/7,767.80
  6. Step 6: Final answer
    x = 5,075.39

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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.