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Finding the Fourth Proportional to 11,075.20, 16,638.40 and 7,619.20

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Solution

The fourth proportional to 11,075.20, 16,638.40 and 7,619.20 is: 11,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.20 : 16,638.40 = 7,619.20 : x
  2. Step 2: Convert to fraction form
    11,075.20/16,638.40 = 7,619.20/x
  3. Step 3: Cross multiply
    11,075.20x = 16,638.40 × 7,619.20
  4. Step 4: Simplify right side
    11,075.20x = 126,771,297.28
  5. Step 5: Solve for x
    x = 126,771,297.28/11,075.20
  6. Step 6: Final answer
    x = 11,446.41

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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.