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Finding the Fourth Proportional to 13,211.96, 18,232.71 and 7,907

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Solution

The fourth proportional to 13,211.96, 18,232.71 and 7,907 is: 10,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.96 : 18,232.71 = 7,907 : x
  2. Step 2: Convert to fraction form
    13,211.96/18,232.71 = 7,907/x
  3. Step 3: Cross multiply
    13,211.96x = 18,232.71 × 7,907
  4. Step 4: Simplify right side
    13,211.96x = 144,166,037.97
  5. Step 5: Solve for x
    x = 144,166,037.97/13,211.96
  6. Step 6: Final answer
    x = 10,911.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.