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Finding the Fourth Proportional to 7,953.86, 11,922.78 and 3,022.22

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Solution

The fourth proportional to 7,953.86, 11,922.78 and 3,022.22 is: 4,530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.86 : 11,922.78 = 3,022.22 : x
  2. Step 2: Convert to fraction form
    7,953.86/11,922.78 = 3,022.22/x
  3. Step 3: Cross multiply
    7,953.86x = 11,922.78 × 3,022.22
  4. Step 4: Simplify right side
    7,953.86x = 36,033,264.17
  5. Step 5: Solve for x
    x = 36,033,264.17/7,953.86
  6. Step 6: Final answer
    x = 4,530.29

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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.