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Finding the Fourth Proportional to 11,783.92, 16,261.76 and 6,478.72

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Solution

The fourth proportional to 11,783.92, 16,261.76 and 6,478.72 is: 8,940.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.92 : 16,261.76 = 6,478.72 : x
  2. Step 2: Convert to fraction form
    11,783.92/16,261.76 = 6,478.72/x
  3. Step 3: Cross multiply
    11,783.92x = 16,261.76 × 6,478.72
  4. Step 4: Simplify right side
    11,783.92x = 105,355,324.64
  5. Step 5: Solve for x
    x = 105,355,324.64/11,783.92
  6. Step 6: Final answer
    x = 8,940.60

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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.