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Finding the Fourth Proportional to 11,783.75, 16,261.67 and 6,478.45

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Solution

The fourth proportional to 11,783.75, 16,261.67 and 6,478.45 is: 8,940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.75 : 16,261.67 = 6,478.45 : x
  2. Step 2: Convert to fraction form
    11,783.75/16,261.67 = 6,478.45/x
  3. Step 3: Cross multiply
    11,783.75x = 16,261.67 × 6,478.45
  4. Step 4: Simplify right side
    11,783.75x = 105,350,416.01
  5. Step 5: Solve for x
    x = 105,350,416.01/11,783.75
  6. Step 6: Final answer
    x = 8,940.31

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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.