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Finding the Fourth Proportional to 11,184.86, 16,783.05 and 6,186.32

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Solution

The fourth proportional to 11,184.86, 16,783.05 and 6,186.32 is: 9,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.86 : 16,783.05 = 6,186.32 : x
  2. Step 2: Convert to fraction form
    11,184.86/16,783.05 = 6,186.32/x
  3. Step 3: Cross multiply
    11,184.86x = 16,783.05 × 6,186.32
  4. Step 4: Simplify right side
    11,184.86x = 103,825,203.03
  5. Step 5: Solve for x
    x = 103,825,203.03/11,184.86
  6. Step 6: Final answer
    x = 9,282.66

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