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Finding the Fourth Proportional to 11,537.98, 17,305.08 and 3,218.56

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Solution

The fourth proportional to 11,537.98, 17,305.08 and 3,218.56 is: 4,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.98 : 17,305.08 = 3,218.56 : x
  2. Step 2: Convert to fraction form
    11,537.98/17,305.08 = 3,218.56/x
  3. Step 3: Cross multiply
    11,537.98x = 17,305.08 × 3,218.56
  4. Step 4: Simplify right side
    11,537.98x = 55,697,438.28
  5. Step 5: Solve for x
    x = 55,697,438.28/11,537.98
  6. Step 6: Final answer
    x = 4,827.31

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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.