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Finding the Fourth Proportional to 7,767.67, 11,646.89 and 3,085.16

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Solution

The fourth proportional to 7,767.67, 11,646.89 and 3,085.16 is: 4,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.67 : 11,646.89 = 3,085.16 : x
  2. Step 2: Convert to fraction form
    7,767.67/11,646.89 = 3,085.16/x
  3. Step 3: Cross multiply
    7,767.67x = 11,646.89 × 3,085.16
  4. Step 4: Simplify right side
    7,767.67x = 35,932,512.31
  5. Step 5: Solve for x
    x = 35,932,512.31/7,767.67
  6. Step 6: Final answer
    x = 4,625.91

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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.