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Finding the Fourth Proportional to 8,406.36, 11,609.10 and 5,765.40

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Solution

The fourth proportional to 8,406.36, 11,609.10 and 5,765.40 is: 7,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.36 : 11,609.10 = 5,765.40 : x
  2. Step 2: Convert to fraction form
    8,406.36/11,609.10 = 5,765.40/x
  3. Step 3: Cross multiply
    8,406.36x = 11,609.10 × 5,765.40
  4. Step 4: Simplify right side
    8,406.36x = 66,931,105.14
  5. Step 5: Solve for x
    x = 66,931,105.14/8,406.36
  6. Step 6: Final answer
    x = 7,961.96

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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.