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Finding the Fourth Proportional to 11,821.14, 17,727.93 and 4,031.10

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Solution

The fourth proportional to 11,821.14, 17,727.93 and 4,031.10 is: 6,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.14 : 17,727.93 = 4,031.10 : x
  2. Step 2: Convert to fraction form
    11,821.14/17,727.93 = 4,031.10/x
  3. Step 3: Cross multiply
    11,821.14x = 17,727.93 × 4,031.10
  4. Step 4: Simplify right side
    11,821.14x = 71,463,058.62
  5. Step 5: Solve for x
    x = 71,463,058.62/11,821.14
  6. Step 6: Final answer
    x = 6,045.36

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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.