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Finding the Fourth Proportional to 7,284.50, 10,926.78 and 2,667.50

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Solution

The fourth proportional to 7,284.50, 10,926.78 and 2,667.50 is: 4,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.50 : 10,926.78 = 2,667.50 : x
  2. Step 2: Convert to fraction form
    7,284.50/10,926.78 = 2,667.50/x
  3. Step 3: Cross multiply
    7,284.50x = 10,926.78 × 2,667.50
  4. Step 4: Simplify right side
    7,284.50x = 29,147,185.65
  5. Step 5: Solve for x
    x = 29,147,185.65/7,284.50
  6. Step 6: Final answer
    x = 4,001.26

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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.