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Finding the Fourth Proportional to 10,317, 15,475.32 and 3,296.96

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Solution

The fourth proportional to 10,317, 15,475.32 and 3,296.96 is: 4,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317 : 15,475.32 = 3,296.96 : x
  2. Step 2: Convert to fraction form
    10,317/15,475.32 = 3,296.96/x
  3. Step 3: Cross multiply
    10,317x = 15,475.32 × 3,296.96
  4. Step 4: Simplify right side
    10,317x = 51,021,433.65
  5. Step 5: Solve for x
    x = 51,021,433.65/10,317
  6. Step 6: Final answer
    x = 4,945.37

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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.