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Finding the Fourth Proportional to 7,922.22, 10,933.82 and 4,564.40

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Solution

The fourth proportional to 7,922.22, 10,933.82 and 4,564.40 is: 6,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.22 : 10,933.82 = 4,564.40 : x
  2. Step 2: Convert to fraction form
    7,922.22/10,933.82 = 4,564.40/x
  3. Step 3: Cross multiply
    7,922.22x = 10,933.82 × 4,564.40
  4. Step 4: Simplify right side
    7,922.22x = 49,906,250.52
  5. Step 5: Solve for x
    x = 49,906,250.52/7,922.22
  6. Step 6: Final answer
    x = 6,299.53

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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.