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Finding the Fourth Proportional to 11,833.40, 17,753.16 and 3,513.35

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Solution

The fourth proportional to 11,833.40, 17,753.16 and 3,513.35 is: 5,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.40 : 17,753.16 = 3,513.35 : x
  2. Step 2: Convert to fraction form
    11,833.40/17,753.16 = 3,513.35/x
  3. Step 3: Cross multiply
    11,833.40x = 17,753.16 × 3,513.35
  4. Step 4: Simplify right side
    11,833.40x = 62,372,975.92
  5. Step 5: Solve for x
    x = 62,372,975.92/11,833.40
  6. Step 6: Final answer
    x = 5,270.93

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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.