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Finding the Fourth Proportional to 11,783.27, 16,260.92 and 6,405.68

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Solution

The fourth proportional to 11,783.27, 16,260.92 and 6,405.68 is: 8,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.27 : 16,260.92 = 6,405.68 : x
  2. Step 2: Convert to fraction form
    11,783.27/16,260.92 = 6,405.68/x
  3. Step 3: Cross multiply
    11,783.27x = 16,260.92 × 6,405.68
  4. Step 4: Simplify right side
    11,783.27x = 104,162,282.67
  5. Step 5: Solve for x
    x = 104,162,282.67/11,783.27
  6. Step 6: Final answer
    x = 8,839.84

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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.