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Finding the Fourth Proportional to 7,901.73, 11,856.25 and 3,458.81

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Solution

The fourth proportional to 7,901.73, 11,856.25 and 3,458.81 is: 5,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.73 : 11,856.25 = 3,458.81 : x
  2. Step 2: Convert to fraction form
    7,901.73/11,856.25 = 3,458.81/x
  3. Step 3: Cross multiply
    7,901.73x = 11,856.25 × 3,458.81
  4. Step 4: Simplify right side
    7,901.73x = 41,008,516.06
  5. Step 5: Solve for x
    x = 41,008,516.06/7,901.73
  6. Step 6: Final answer
    x = 5,189.81

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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.