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Finding the Fourth Proportional to 7,146.92, 10,717.74 and 2,465.73

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Solution

The fourth proportional to 7,146.92, 10,717.74 and 2,465.73 is: 3,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.92 : 10,717.74 = 2,465.73 : x
  2. Step 2: Convert to fraction form
    7,146.92/10,717.74 = 2,465.73/x
  3. Step 3: Cross multiply
    7,146.92x = 10,717.74 × 2,465.73
  4. Step 4: Simplify right side
    7,146.92x = 26,427,053.05
  5. Step 5: Solve for x
    x = 26,427,053.05/7,146.92
  6. Step 6: Final answer
    x = 3,697.68

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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.