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Finding the Fourth Proportional to 7,920.16, 10,930.97 and 4,936.93

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Solution

The fourth proportional to 7,920.16, 10,930.97 and 4,936.93 is: 6,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.16 : 10,930.97 = 4,936.93 : x
  2. Step 2: Convert to fraction form
    7,920.16/10,930.97 = 4,936.93/x
  3. Step 3: Cross multiply
    7,920.16x = 10,930.97 × 4,936.93
  4. Step 4: Simplify right side
    7,920.16x = 53,965,433.72
  5. Step 5: Solve for x
    x = 53,965,433.72/7,920.16
  6. Step 6: Final answer
    x = 6,813.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.