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Finding the Fourth Proportional to 11,782.92, 16,260.40 and 6,478.06

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Solution

The fourth proportional to 11,782.92, 16,260.40 and 6,478.06 is: 8,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.92 : 16,260.40 = 6,478.06 : x
  2. Step 2: Convert to fraction form
    11,782.92/16,260.40 = 6,478.06/x
  3. Step 3: Cross multiply
    11,782.92x = 16,260.40 × 6,478.06
  4. Step 4: Simplify right side
    11,782.92x = 105,335,846.82
  5. Step 5: Solve for x
    x = 105,335,846.82/11,782.92
  6. Step 6: Final answer
    x = 8,939.71

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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.