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Finding the Fourth Proportional to 11,391.67, 15,712.01 and 8,365.83

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Solution

The fourth proportional to 11,391.67, 15,712.01 and 8,365.83 is: 11,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.67 : 15,712.01 = 8,365.83 : x
  2. Step 2: Convert to fraction form
    11,391.67/15,712.01 = 8,365.83/x
  3. Step 3: Cross multiply
    11,391.67x = 15,712.01 × 8,365.83
  4. Step 4: Simplify right side
    11,391.67x = 131,444,004.62
  5. Step 5: Solve for x
    x = 131,444,004.62/11,391.67
  6. Step 6: Final answer
    x = 11,538.61

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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.