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Finding the Fourth Proportional to 7,774.02, 10,729.22 and 4,418.20

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Solution

The fourth proportional to 7,774.02, 10,729.22 and 4,418.20 is: 6,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.02 : 10,729.22 = 4,418.20 : x
  2. Step 2: Convert to fraction form
    7,774.02/10,729.22 = 4,418.20/x
  3. Step 3: Cross multiply
    7,774.02x = 10,729.22 × 4,418.20
  4. Step 4: Simplify right side
    7,774.02x = 47,403,839.80
  5. Step 5: Solve for x
    x = 47,403,839.80/7,774.02
  6. Step 6: Final answer
    x = 6,097.73

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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.