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Finding the Fourth Proportional to 11,783.54, 16,260.24 and 6,478.25

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Solution

The fourth proportional to 11,783.54, 16,260.24 and 6,478.25 is: 8,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.54 : 16,260.24 = 6,478.25 : x
  2. Step 2: Convert to fraction form
    11,783.54/16,260.24 = 6,478.25/x
  3. Step 3: Cross multiply
    11,783.54x = 16,260.24 × 6,478.25
  4. Step 4: Simplify right side
    11,783.54x = 105,337,842.77
  5. Step 5: Solve for x
    x = 105,337,842.77/11,783.54
  6. Step 6: Final answer
    x = 8,939.40

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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.