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Finding the Fourth Proportional to 11,467.84, 15,824.60 and 6,431.24

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Solution

The fourth proportional to 11,467.84, 15,824.60 and 6,431.24 is: 8,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.84 : 15,824.60 = 6,431.24 : x
  2. Step 2: Convert to fraction form
    11,467.84/15,824.60 = 6,431.24/x
  3. Step 3: Cross multiply
    11,467.84x = 15,824.60 × 6,431.24
  4. Step 4: Simplify right side
    11,467.84x = 101,771,800.50
  5. Step 5: Solve for x
    x = 101,771,800.50/11,467.84
  6. Step 6: Final answer
    x = 8,874.54

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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.