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Finding the Fourth Proportional to 11,905.96, 16,412.34 and 7,918.60

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Solution

The fourth proportional to 11,905.96, 16,412.34 and 7,918.60 is: 10,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.96 : 16,412.34 = 7,918.60 : x
  2. Step 2: Convert to fraction form
    11,905.96/16,412.34 = 7,918.60/x
  3. Step 3: Cross multiply
    11,905.96x = 16,412.34 × 7,918.60
  4. Step 4: Simplify right side
    11,905.96x = 129,962,755.52
  5. Step 5: Solve for x
    x = 129,962,755.52/11,905.96
  6. Step 6: Final answer
    x = 10,915.77

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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.