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Finding the Fourth Proportional to 11,049.75, 16,637.09 and 9,741.87

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Solution

The fourth proportional to 11,049.75, 16,637.09 and 9,741.87 is: 14,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.75 : 16,637.09 = 9,741.87 : x
  2. Step 2: Convert to fraction form
    11,049.75/16,637.09 = 9,741.87/x
  3. Step 3: Cross multiply
    11,049.75x = 16,637.09 × 9,741.87
  4. Step 4: Simplify right side
    11,049.75x = 162,076,319.25
  5. Step 5: Solve for x
    x = 162,076,319.25/11,049.75
  6. Step 6: Final answer
    x = 14,667.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.