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Finding the Fourth Proportional to 7,129.56, 10,733.97 and 6,177

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Solution

The fourth proportional to 7,129.56, 10,733.97 and 6,177 is: 9,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.56 : 10,733.97 = 6,177 : x
  2. Step 2: Convert to fraction form
    7,129.56/10,733.97 = 6,177/x
  3. Step 3: Cross multiply
    7,129.56x = 10,733.97 × 6,177
  4. Step 4: Simplify right side
    7,129.56x = 66,303,732.69
  5. Step 5: Solve for x
    x = 66,303,732.69/7,129.56
  6. Step 6: Final answer
    x = 9,299.84

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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.