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Finding the Fourth Proportional to 11,783.52, 16,261.15 and 6,478.31

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Solution

The fourth proportional to 11,783.52, 16,261.15 and 6,478.31 is: 8,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.52 : 16,261.15 = 6,478.31 : x
  2. Step 2: Convert to fraction form
    11,783.52/16,261.15 = 6,478.31/x
  3. Step 3: Cross multiply
    11,783.52x = 16,261.15 × 6,478.31
  4. Step 4: Simplify right side
    11,783.52x = 105,344,770.66
  5. Step 5: Solve for x
    x = 105,344,770.66/11,783.52
  6. Step 6: Final answer
    x = 8,940.01

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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.