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Finding the Fourth Proportional to 10,406.40, 15,609.60 and 3,832.80

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Solution

The fourth proportional to 10,406.40, 15,609.60 and 3,832.80 is: 5,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.40 : 15,609.60 = 3,832.80 : x
  2. Step 2: Convert to fraction form
    10,406.40/15,609.60 = 3,832.80/x
  3. Step 3: Cross multiply
    10,406.40x = 15,609.60 × 3,832.80
  4. Step 4: Simplify right side
    10,406.40x = 59,828,474.88
  5. Step 5: Solve for x
    x = 59,828,474.88/10,406.40
  6. Step 6: Final answer
    x = 5,749.20

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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.