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Finding the Fourth Proportional to 11,475.20, 17,212.80 and 5,643.20

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Solution

The fourth proportional to 11,475.20, 17,212.80 and 5,643.20 is: 8,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.20 : 17,212.80 = 5,643.20 : x
  2. Step 2: Convert to fraction form
    11,475.20/17,212.80 = 5,643.20/x
  3. Step 3: Cross multiply
    11,475.20x = 17,212.80 × 5,643.20
  4. Step 4: Simplify right side
    11,475.20x = 97,135,272.96
  5. Step 5: Solve for x
    x = 97,135,272.96/11,475.20
  6. Step 6: Final answer
    x = 8,464.80

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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.