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Finding the Fourth Proportional to 7,829.99, 11,748.36 and 5,198.43

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Solution

The fourth proportional to 7,829.99, 11,748.36 and 5,198.43 is: 7,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.99 : 11,748.36 = 5,198.43 : x
  2. Step 2: Convert to fraction form
    7,829.99/11,748.36 = 5,198.43/x
  3. Step 3: Cross multiply
    7,829.99x = 11,748.36 × 5,198.43
  4. Step 4: Simplify right side
    7,829.99x = 61,073,027.07
  5. Step 5: Solve for x
    x = 61,073,027.07/7,829.99
  6. Step 6: Final answer
    x = 7,799.89

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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.