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Finding the Fourth Proportional to 7,824.48, 11,747.64 and 7,467.24

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Solution

The fourth proportional to 7,824.48, 11,747.64 and 7,467.24 is: 11,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.48 : 11,747.64 = 7,467.24 : x
  2. Step 2: Convert to fraction form
    7,824.48/11,747.64 = 7,467.24/x
  3. Step 3: Cross multiply
    7,824.48x = 11,747.64 × 7,467.24
  4. Step 4: Simplify right side
    7,824.48x = 87,722,447.31
  5. Step 5: Solve for x
    x = 87,722,447.31/7,824.48
  6. Step 6: Final answer
    x = 11,211.28

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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.