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Finding the Fourth Proportional to 7,765.38, 11,649.33 and 3,085.43

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Solution

The fourth proportional to 7,765.38, 11,649.33 and 3,085.43 is: 4,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.38 : 11,649.33 = 3,085.43 : x
  2. Step 2: Convert to fraction form
    7,765.38/11,649.33 = 3,085.43/x
  3. Step 3: Cross multiply
    7,765.38x = 11,649.33 × 3,085.43
  4. Step 4: Simplify right side
    7,765.38x = 35,943,134.02
  5. Step 5: Solve for x
    x = 35,943,134.02/7,765.38
  6. Step 6: Final answer
    x = 4,628.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.