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Finding the Fourth Proportional to 7,946.08, 11,930.07 and 4,053.22

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Solution

The fourth proportional to 7,946.08, 11,930.07 and 4,053.22 is: 6,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.08 : 11,930.07 = 4,053.22 : x
  2. Step 2: Convert to fraction form
    7,946.08/11,930.07 = 4,053.22/x
  3. Step 3: Cross multiply
    7,946.08x = 11,930.07 × 4,053.22
  4. Step 4: Simplify right side
    7,946.08x = 48,355,198.33
  5. Step 5: Solve for x
    x = 48,355,198.33/7,946.08
  6. Step 6: Final answer
    x = 6,085.42

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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.