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Finding the Fourth Proportional to 11,869.44, 16,374.89 and 7,385.42

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Solution

The fourth proportional to 11,869.44, 16,374.89 and 7,385.42 is: 10,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.44 : 16,374.89 = 7,385.42 : x
  2. Step 2: Convert to fraction form
    11,869.44/16,374.89 = 7,385.42/x
  3. Step 3: Cross multiply
    11,869.44x = 16,374.89 × 7,385.42
  4. Step 4: Simplify right side
    11,869.44x = 120,935,321.30
  5. Step 5: Solve for x
    x = 120,935,321.30/11,869.44
  6. Step 6: Final answer
    x = 10,188.80

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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.