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Finding the Fourth Proportional to 11,783.51, 16,260.83 and 6,478.29

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Solution

The fourth proportional to 11,783.51, 16,260.83 and 6,478.29 is: 8,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.51 : 16,260.83 = 6,478.29 : x
  2. Step 2: Convert to fraction form
    11,783.51/16,260.83 = 6,478.29/x
  3. Step 3: Cross multiply
    11,783.51x = 16,260.83 × 6,478.29
  4. Step 4: Simplify right side
    11,783.51x = 105,342,364.28
  5. Step 5: Solve for x
    x = 105,342,364.28/11,783.51
  6. Step 6: Final answer
    x = 8,939.81

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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.