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Finding the Fourth Proportional to 11,163.44, 15,405.72 and 6,448.40

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Solution

The fourth proportional to 11,163.44, 15,405.72 and 6,448.40 is: 8,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.44 : 15,405.72 = 6,448.40 : x
  2. Step 2: Convert to fraction form
    11,163.44/15,405.72 = 6,448.40/x
  3. Step 3: Cross multiply
    11,163.44x = 15,405.72 × 6,448.40
  4. Step 4: Simplify right side
    11,163.44x = 99,342,244.85
  5. Step 5: Solve for x
    x = 99,342,244.85/11,163.44
  6. Step 6: Final answer
    x = 8,898.89

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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.