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Finding the Fourth Proportional to 11,982.96, 17,949.72 and 7,037.64

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Solution

The fourth proportional to 11,982.96, 17,949.72 and 7,037.64 is: 10,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.96 : 17,949.72 = 7,037.64 : x
  2. Step 2: Convert to fraction form
    11,982.96/17,949.72 = 7,037.64/x
  3. Step 3: Cross multiply
    11,982.96x = 17,949.72 × 7,037.64
  4. Step 4: Simplify right side
    11,982.96x = 126,323,667.46
  5. Step 5: Solve for x
    x = 126,323,667.46/11,982.96
  6. Step 6: Final answer
    x = 10,541.94

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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.