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Finding the Fourth Proportional to 13,283.92, 18,331.86 and 7,978.82

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Solution

The fourth proportional to 13,283.92, 18,331.86 and 7,978.82 is: 11,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.92 : 18,331.86 = 7,978.82 : x
  2. Step 2: Convert to fraction form
    13,283.92/18,331.86 = 7,978.82/x
  3. Step 3: Cross multiply
    13,283.92x = 18,331.86 × 7,978.82
  4. Step 4: Simplify right side
    13,283.92x = 146,266,611.21
  5. Step 5: Solve for x
    x = 146,266,611.21/13,283.92
  6. Step 6: Final answer
    x = 11,010.80

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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.