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Finding the Fourth Proportional to 11,612.72, 17,419.64 and 3,821.36

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Solution

The fourth proportional to 11,612.72, 17,419.64 and 3,821.36 is: 5,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.72 : 17,419.64 = 3,821.36 : x
  2. Step 2: Convert to fraction form
    11,612.72/17,419.64 = 3,821.36/x
  3. Step 3: Cross multiply
    11,612.72x = 17,419.64 × 3,821.36
  4. Step 4: Simplify right side
    11,612.72x = 66,566,715.51
  5. Step 5: Solve for x
    x = 66,566,715.51/11,612.72
  6. Step 6: Final answer
    x = 5,732.22

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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.