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Finding the Fourth Proportional to 11,857.38, 17,777.86 and 7,178.61

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Solution

The fourth proportional to 11,857.38, 17,777.86 and 7,178.61 is: 10,762.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.38 : 17,777.86 = 7,178.61 : x
  2. Step 2: Convert to fraction form
    11,857.38/17,777.86 = 7,178.61/x
  3. Step 3: Cross multiply
    11,857.38x = 17,777.86 × 7,178.61
  4. Step 4: Simplify right side
    11,857.38x = 127,620,323.57
  5. Step 5: Solve for x
    x = 127,620,323.57/11,857.38
  6. Step 6: Final answer
    x = 10,762.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.