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Finding the Fourth Proportional to 11,783.67, 16,261.75 and 6,478.60

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Solution

The fourth proportional to 11,783.67, 16,261.75 and 6,478.60 is: 8,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.67 : 16,261.75 = 6,478.60 : x
  2. Step 2: Convert to fraction form
    11,783.67/16,261.75 = 6,478.60/x
  3. Step 3: Cross multiply
    11,783.67x = 16,261.75 × 6,478.60
  4. Step 4: Simplify right side
    11,783.67x = 105,353,373.55
  5. Step 5: Solve for x
    x = 105,353,373.55/11,783.67
  6. Step 6: Final answer
    x = 8,940.62

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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.