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Finding the Fourth Proportional to 11,783.78, 16,262.31 and 6,478.58

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Solution

The fourth proportional to 11,783.78, 16,262.31 and 6,478.58 is: 8,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.78 : 16,262.31 = 6,478.58 : x
  2. Step 2: Convert to fraction form
    11,783.78/16,262.31 = 6,478.58/x
  3. Step 3: Cross multiply
    11,783.78x = 16,262.31 × 6,478.58
  4. Step 4: Simplify right side
    11,783.78x = 105,356,676.32
  5. Step 5: Solve for x
    x = 105,356,676.32/11,783.78
  6. Step 6: Final answer
    x = 8,940.82

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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.