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Finding the Fourth Proportional to 7,829.69, 11,736.02 and 3,667.10

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Solution

The fourth proportional to 7,829.69, 11,736.02 and 3,667.10 is: 5,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.69 : 11,736.02 = 3,667.10 : x
  2. Step 2: Convert to fraction form
    7,829.69/11,736.02 = 3,667.10/x
  3. Step 3: Cross multiply
    7,829.69x = 11,736.02 × 3,667.10
  4. Step 4: Simplify right side
    7,829.69x = 43,037,081.93
  5. Step 5: Solve for x
    x = 43,037,081.93/7,829.69
  6. Step 6: Final answer
    x = 5,496.66

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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.