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Finding the Fourth Proportional to 11,793, 16,273.92 and 6,487.80

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Solution

The fourth proportional to 11,793, 16,273.92 and 6,487.80 is: 8,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793 : 16,273.92 = 6,487.80 : x
  2. Step 2: Convert to fraction form
    11,793/16,273.92 = 6,487.80/x
  3. Step 3: Cross multiply
    11,793x = 16,273.92 × 6,487.80
  4. Step 4: Simplify right side
    11,793x = 105,581,938.18
  5. Step 5: Solve for x
    x = 105,581,938.18/11,793
  6. Step 6: Final answer
    x = 8,952.93

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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.