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Finding the Fourth Proportional to 11,759.36, 16,235.49 and 7,785.83

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Solution

The fourth proportional to 11,759.36, 16,235.49 and 7,785.83 is: 10,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.36 : 16,235.49 = 7,785.83 : x
  2. Step 2: Convert to fraction form
    11,759.36/16,235.49 = 7,785.83/x
  3. Step 3: Cross multiply
    11,759.36x = 16,235.49 × 7,785.83
  4. Step 4: Simplify right side
    11,759.36x = 126,406,683.93
  5. Step 5: Solve for x
    x = 126,406,683.93/11,759.36
  6. Step 6: Final answer
    x = 10,749.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.