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Finding the Fourth Proportional to 7,770.20, 10,722.22 and 4,367.02

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Solution

The fourth proportional to 7,770.20, 10,722.22 and 4,367.02 is: 6,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.20 : 10,722.22 = 4,367.02 : x
  2. Step 2: Convert to fraction form
    7,770.20/10,722.22 = 4,367.02/x
  3. Step 3: Cross multiply
    7,770.20x = 10,722.22 × 4,367.02
  4. Step 4: Simplify right side
    7,770.20x = 46,824,197.59
  5. Step 5: Solve for x
    x = 46,824,197.59/7,770.20
  6. Step 6: Final answer
    x = 6,026.12

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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.