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Finding the Fourth Proportional to 13,211.46, 18,232.02 and 7,906.50

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Solution

The fourth proportional to 13,211.46, 18,232.02 and 7,906.50 is: 10,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.46 : 18,232.02 = 7,906.50 : x
  2. Step 2: Convert to fraction form
    13,211.46/18,232.02 = 7,906.50/x
  3. Step 3: Cross multiply
    13,211.46x = 18,232.02 × 7,906.50
  4. Step 4: Simplify right side
    13,211.46x = 144,151,466.13
  5. Step 5: Solve for x
    x = 144,151,466.13/13,211.46
  6. Step 6: Final answer
    x = 10,911.09

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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.