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Finding the Fourth Proportional to 8,436.92, 12,651.44 and 4,927.94

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Solution

The fourth proportional to 8,436.92, 12,651.44 and 4,927.94 is: 7,389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.92 : 12,651.44 = 4,927.94 : x
  2. Step 2: Convert to fraction form
    8,436.92/12,651.44 = 4,927.94/x
  3. Step 3: Cross multiply
    8,436.92x = 12,651.44 × 4,927.94
  4. Step 4: Simplify right side
    8,436.92x = 62,345,537.23
  5. Step 5: Solve for x
    x = 62,345,537.23/8,436.92
  6. Step 6: Final answer
    x = 7,389.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.