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Finding the Fourth Proportional to 7,974.16, 11,953.50 and 4,465.85

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Solution

The fourth proportional to 7,974.16, 11,953.50 and 4,465.85 is: 6,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.16 : 11,953.50 = 4,465.85 : x
  2. Step 2: Convert to fraction form
    7,974.16/11,953.50 = 4,465.85/x
  3. Step 3: Cross multiply
    7,974.16x = 11,953.50 × 4,465.85
  4. Step 4: Simplify right side
    7,974.16x = 53,382,537.98
  5. Step 5: Solve for x
    x = 53,382,537.98/7,974.16
  6. Step 6: Final answer
    x = 6,694.44

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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.