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Finding the Fourth Proportional to 11,857.96, 16,370.46 and 7,385.56

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Solution

The fourth proportional to 11,857.96, 16,370.46 and 7,385.56 is: 10,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.96 : 16,370.46 = 7,385.56 : x
  2. Step 2: Convert to fraction form
    11,857.96/16,370.46 = 7,385.56/x
  3. Step 3: Cross multiply
    11,857.96x = 16,370.46 × 7,385.56
  4. Step 4: Simplify right side
    11,857.96x = 120,905,014.56
  5. Step 5: Solve for x
    x = 120,905,014.56/11,857.96
  6. Step 6: Final answer
    x = 10,196.11

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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.