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Finding the Fourth Proportional to 11,833.81, 17,753.45 and 3,513.64

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Solution

The fourth proportional to 11,833.81, 17,753.45 and 3,513.64 is: 5,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.81 : 17,753.45 = 3,513.64 : x
  2. Step 2: Convert to fraction form
    11,833.81/17,753.45 = 3,513.64/x
  3. Step 3: Cross multiply
    11,833.81x = 17,753.45 × 3,513.64
  4. Step 4: Simplify right side
    11,833.81x = 62,379,214.49
  5. Step 5: Solve for x
    x = 62,379,214.49/11,833.81
  6. Step 6: Final answer
    x = 5,271.27

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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.