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Finding the Fourth Proportional to 7,240.25, 10,860.50 and 2,857.67

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Solution

The fourth proportional to 7,240.25, 10,860.50 and 2,857.67 is: 4,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.25 : 10,860.50 = 2,857.67 : x
  2. Step 2: Convert to fraction form
    7,240.25/10,860.50 = 2,857.67/x
  3. Step 3: Cross multiply
    7,240.25x = 10,860.50 × 2,857.67
  4. Step 4: Simplify right side
    7,240.25x = 31,035,710.75
  5. Step 5: Solve for x
    x = 31,035,710.75/7,240.25
  6. Step 6: Final answer
    x = 4,286.55

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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.