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Finding the Fourth Proportional to 7,238.25, 10,857.49 and 2,855.67

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Solution

The fourth proportional to 7,238.25, 10,857.49 and 2,855.67 is: 4,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.25 : 10,857.49 = 2,855.67 : x
  2. Step 2: Convert to fraction form
    7,238.25/10,857.49 = 2,855.67/x
  3. Step 3: Cross multiply
    7,238.25x = 10,857.49 × 2,855.67
  4. Step 4: Simplify right side
    7,238.25x = 31,005,437.75
  5. Step 5: Solve for x
    x = 31,005,437.75/7,238.25
  6. Step 6: Final answer
    x = 4,283.55

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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.