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Finding the Fourth Proportional to 10,857.50, 14,996.31 and 7,314.56

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Solution

The fourth proportional to 10,857.50, 14,996.31 and 7,314.56 is: 10,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.50 : 14,996.31 = 7,314.56 : x
  2. Step 2: Convert to fraction form
    10,857.50/14,996.31 = 7,314.56/x
  3. Step 3: Cross multiply
    10,857.50x = 14,996.31 × 7,314.56
  4. Step 4: Simplify right side
    10,857.50x = 109,691,409.27
  5. Step 5: Solve for x
    x = 109,691,409.27/10,857.50
  6. Step 6: Final answer
    x = 10,102.82

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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.