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Finding the Fourth Proportional to 10,027.67, 15,063.26 and 7,840.67

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Solution

The fourth proportional to 10,027.67, 15,063.26 and 7,840.67 is: 11,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.67 : 15,063.26 = 7,840.67 : x
  2. Step 2: Convert to fraction form
    10,027.67/15,063.26 = 7,840.67/x
  3. Step 3: Cross multiply
    10,027.67x = 15,063.26 × 7,840.67
  4. Step 4: Simplify right side
    10,027.67x = 118,105,936.26
  5. Step 5: Solve for x
    x = 118,105,936.26/10,027.67
  6. Step 6: Final answer
    x = 11,778.01

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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.