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Finding the Fourth Proportional to 11,783.37, 16,260.87 and 6,478.08

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Solution

The fourth proportional to 11,783.37, 16,260.87 and 6,478.08 is: 8,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.37 : 16,260.87 = 6,478.08 : x
  2. Step 2: Convert to fraction form
    11,783.37/16,260.87 = 6,478.08/x
  3. Step 3: Cross multiply
    11,783.37x = 16,260.87 × 6,478.08
  4. Step 4: Simplify right side
    11,783.37x = 105,339,216.73
  5. Step 5: Solve for x
    x = 105,339,216.73/11,783.37
  6. Step 6: Final answer
    x = 8,939.65

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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.