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Finding the Fourth Proportional to 10,317, 14,237.73 and 5,601.27

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Solution

The fourth proportional to 10,317, 14,237.73 and 5,601.27 is: 7,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317 : 14,237.73 = 5,601.27 : x
  2. Step 2: Convert to fraction form
    10,317/14,237.73 = 5,601.27/x
  3. Step 3: Cross multiply
    10,317x = 14,237.73 × 5,601.27
  4. Step 4: Simplify right side
    10,317x = 79,749,369.92
  5. Step 5: Solve for x
    x = 79,749,369.92/10,317
  6. Step 6: Final answer
    x = 7,729.90

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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.