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Finding the Fourth Proportional to 8,396.16, 11,589.12 and 5,609.76

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Solution

The fourth proportional to 8,396.16, 11,589.12 and 5,609.76 is: 7,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.16 : 11,589.12 = 5,609.76 : x
  2. Step 2: Convert to fraction form
    8,396.16/11,589.12 = 5,609.76/x
  3. Step 3: Cross multiply
    8,396.16x = 11,589.12 × 5,609.76
  4. Step 4: Simplify right side
    8,396.16x = 65,012,181.81
  5. Step 5: Solve for x
    x = 65,012,181.81/8,396.16
  6. Step 6: Final answer
    x = 7,743.09

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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.