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Finding the Fourth Proportional to 8,052.96, 12,075.76 and 2,504.64

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Solution

The fourth proportional to 8,052.96, 12,075.76 and 2,504.64 is: 3,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.96 : 12,075.76 = 2,504.64 : x
  2. Step 2: Convert to fraction form
    8,052.96/12,075.76 = 2,504.64/x
  3. Step 3: Cross multiply
    8,052.96x = 12,075.76 × 2,504.64
  4. Step 4: Simplify right side
    8,052.96x = 30,245,431.53
  5. Step 5: Solve for x
    x = 30,245,431.53/8,052.96
  6. Step 6: Final answer
    x = 3,755.82

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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.