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Finding the Fourth Proportional to 11,783.73, 16,261.18 and 6,478.53

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Solution

The fourth proportional to 11,783.73, 16,261.18 and 6,478.53 is: 8,940.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.73 : 16,261.18 = 6,478.53 : x
  2. Step 2: Convert to fraction form
    11,783.73/16,261.18 = 6,478.53/x
  3. Step 3: Cross multiply
    11,783.73x = 16,261.18 × 6,478.53
  4. Step 4: Simplify right side
    11,783.73x = 105,348,542.47
  5. Step 5: Solve for x
    x = 105,348,542.47/11,783.73
  6. Step 6: Final answer
    x = 8,940.17

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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.