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Finding the Fourth Proportional to 8,396.08, 11,583.88 and 5,406.64

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Solution

The fourth proportional to 8,396.08, 11,583.88 and 5,406.64 is: 7,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.08 : 11,583.88 = 5,406.64 : x
  2. Step 2: Convert to fraction form
    8,396.08/11,583.88 = 5,406.64/x
  3. Step 3: Cross multiply
    8,396.08x = 11,583.88 × 5,406.64
  4. Step 4: Simplify right side
    8,396.08x = 62,629,868.96
  5. Step 5: Solve for x
    x = 62,629,868.96/8,396.08
  6. Step 6: Final answer
    x = 7,459.42

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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.