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Finding the Fourth Proportional to 7,864.67, 11,796.99 and 2,021.30

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Solution

The fourth proportional to 7,864.67, 11,796.99 and 2,021.30 is: 3,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.67 : 11,796.99 = 2,021.30 : x
  2. Step 2: Convert to fraction form
    7,864.67/11,796.99 = 2,021.30/x
  3. Step 3: Cross multiply
    7,864.67x = 11,796.99 × 2,021.30
  4. Step 4: Simplify right side
    7,864.67x = 23,845,255.89
  5. Step 5: Solve for x
    x = 23,845,255.89/7,864.67
  6. Step 6: Final answer
    x = 3,031.95

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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.