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Finding the Fourth Proportional to 7,983.83, 11,971.11 and 3,053.81

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Solution

The fourth proportional to 7,983.83, 11,971.11 and 3,053.81 is: 4,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.83 : 11,971.11 = 3,053.81 : x
  2. Step 2: Convert to fraction form
    7,983.83/11,971.11 = 3,053.81/x
  3. Step 3: Cross multiply
    7,983.83x = 11,971.11 × 3,053.81
  4. Step 4: Simplify right side
    7,983.83x = 36,557,495.43
  5. Step 5: Solve for x
    x = 36,557,495.43/7,983.83
  6. Step 6: Final answer
    x = 4,578.94

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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.