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Finding the Fourth Proportional to 11,455.64, 17,181.40 and 5,214.20

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Solution

The fourth proportional to 11,455.64, 17,181.40 and 5,214.20 is: 7,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.64 : 17,181.40 = 5,214.20 : x
  2. Step 2: Convert to fraction form
    11,455.64/17,181.40 = 5,214.20/x
  3. Step 3: Cross multiply
    11,455.64x = 17,181.40 × 5,214.20
  4. Step 4: Simplify right side
    11,455.64x = 89,587,255.88
  5. Step 5: Solve for x
    x = 89,587,255.88/11,455.64
  6. Step 6: Final answer
    x = 7,820.36

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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.