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Finding the Fourth Proportional to 11,857.12, 16,362.18 and 7,380.76

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Solution

The fourth proportional to 11,857.12, 16,362.18 and 7,380.76 is: 10,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.12 : 16,362.18 = 7,380.76 : x
  2. Step 2: Convert to fraction form
    11,857.12/16,362.18 = 7,380.76/x
  3. Step 3: Cross multiply
    11,857.12x = 16,362.18 × 7,380.76
  4. Step 4: Simplify right side
    11,857.12x = 120,765,323.66
  5. Step 5: Solve for x
    x = 120,765,323.66/11,857.12
  6. Step 6: Final answer
    x = 10,185.05

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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.