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Finding the Fourth Proportional to 7,764.72, 11,639.52 and 3,083.19

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Solution

The fourth proportional to 7,764.72, 11,639.52 and 3,083.19 is: 4,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.72 : 11,639.52 = 3,083.19 : x
  2. Step 2: Convert to fraction form
    7,764.72/11,639.52 = 3,083.19/x
  3. Step 3: Cross multiply
    7,764.72x = 11,639.52 × 3,083.19
  4. Step 4: Simplify right side
    7,764.72x = 35,886,851.67
  5. Step 5: Solve for x
    x = 35,886,851.67/7,764.72
  6. Step 6: Final answer
    x = 4,621.78

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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.