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Finding the Fourth Proportional to 7,805.09, 10,770.57 and 4,447.44

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Solution

The fourth proportional to 7,805.09, 10,770.57 and 4,447.44 is: 6,137.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.09 : 10,770.57 = 4,447.44 : x
  2. Step 2: Convert to fraction form
    7,805.09/10,770.57 = 4,447.44/x
  3. Step 3: Cross multiply
    7,805.09x = 10,770.57 × 4,447.44
  4. Step 4: Simplify right side
    7,805.09x = 47,901,463.84
  5. Step 5: Solve for x
    x = 47,901,463.84/7,805.09
  6. Step 6: Final answer
    x = 6,137.21

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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.