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Finding the Fourth Proportional to 8,932.86, 13,400.53 and 5,186.41

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Solution

The fourth proportional to 8,932.86, 13,400.53 and 5,186.41 is: 7,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932.86 : 13,400.53 = 5,186.41 : x
  2. Step 2: Convert to fraction form
    8,932.86/13,400.53 = 5,186.41/x
  3. Step 3: Cross multiply
    8,932.86x = 13,400.53 × 5,186.41
  4. Step 4: Simplify right side
    8,932.86x = 69,500,596.33
  5. Step 5: Solve for x
    x = 69,500,596.33/8,932.86
  6. Step 6: Final answer
    x = 7,780.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.