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Finding the Fourth Proportional to 11,402.86, 15,735.79 and 6,367.16

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Solution

The fourth proportional to 11,402.86, 15,735.79 and 6,367.16 is: 8,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.86 : 15,735.79 = 6,367.16 : x
  2. Step 2: Convert to fraction form
    11,402.86/15,735.79 = 6,367.16/x
  3. Step 3: Cross multiply
    11,402.86x = 15,735.79 × 6,367.16
  4. Step 4: Simplify right side
    11,402.86x = 100,192,292.66
  5. Step 5: Solve for x
    x = 100,192,292.66/11,402.86
  6. Step 6: Final answer
    x = 8,786.60

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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.