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Finding the Fourth Proportional to 7,769.07, 11,647.02 and 3,383.19

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Solution

The fourth proportional to 7,769.07, 11,647.02 and 3,383.19 is: 5,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.07 : 11,647.02 = 3,383.19 : x
  2. Step 2: Convert to fraction form
    7,769.07/11,647.02 = 3,383.19/x
  3. Step 3: Cross multiply
    7,769.07x = 11,647.02 × 3,383.19
  4. Step 4: Simplify right side
    7,769.07x = 39,404,081.59
  5. Step 5: Solve for x
    x = 39,404,081.59/7,769.07
  6. Step 6: Final answer
    x = 5,071.92

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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.