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Finding the Fourth Proportional to 10,429.44, 15,644.36 and 3,409.48

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Solution

The fourth proportional to 10,429.44, 15,644.36 and 3,409.48 is: 5,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.44 : 15,644.36 = 3,409.48 : x
  2. Step 2: Convert to fraction form
    10,429.44/15,644.36 = 3,409.48/x
  3. Step 3: Cross multiply
    10,429.44x = 15,644.36 × 3,409.48
  4. Step 4: Simplify right side
    10,429.44x = 53,339,132.53
  5. Step 5: Solve for x
    x = 53,339,132.53/10,429.44
  6. Step 6: Final answer
    x = 5,114.29

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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.