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Finding the Fourth Proportional to 7,509.84, 11,252.46 and 2,576.82

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Solution

The fourth proportional to 7,509.84, 11,252.46 and 2,576.82 is: 3,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.84 : 11,252.46 = 2,576.82 : x
  2. Step 2: Convert to fraction form
    7,509.84/11,252.46 = 2,576.82/x
  3. Step 3: Cross multiply
    7,509.84x = 11,252.46 × 2,576.82
  4. Step 4: Simplify right side
    7,509.84x = 28,995,563.98
  5. Step 5: Solve for x
    x = 28,995,563.98/7,509.84
  6. Step 6: Final answer
    x = 3,861.01

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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.