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Finding the Fourth Proportional to 11,461.62, 17,192.48 and 4,066.31

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Solution

The fourth proportional to 11,461.62, 17,192.48 and 4,066.31 is: 6,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.62 : 17,192.48 = 4,066.31 : x
  2. Step 2: Convert to fraction form
    11,461.62/17,192.48 = 4,066.31/x
  3. Step 3: Cross multiply
    11,461.62x = 17,192.48 × 4,066.31
  4. Step 4: Simplify right side
    11,461.62x = 69,909,847.05
  5. Step 5: Solve for x
    x = 69,909,847.05/11,461.62
  6. Step 6: Final answer
    x = 6,099.47

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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.