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Finding the Fourth Proportional to 11,819.69, 16,311.80 and 6,783.86

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Solution

The fourth proportional to 11,819.69, 16,311.80 and 6,783.86 is: 9,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.69 : 16,311.80 = 6,783.86 : x
  2. Step 2: Convert to fraction form
    11,819.69/16,311.80 = 6,783.86/x
  3. Step 3: Cross multiply
    11,819.69x = 16,311.80 × 6,783.86
  4. Step 4: Simplify right side
    11,819.69x = 110,656,852.07
  5. Step 5: Solve for x
    x = 110,656,852.07/11,819.69
  6. Step 6: Final answer
    x = 9,362.08

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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.