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Finding the Fourth Proportional to 7,767.43, 11,653.54 and 4,650.95

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Solution

The fourth proportional to 7,767.43, 11,653.54 and 4,650.95 is: 6,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.43 : 11,653.54 = 4,650.95 : x
  2. Step 2: Convert to fraction form
    7,767.43/11,653.54 = 4,650.95/x
  3. Step 3: Cross multiply
    7,767.43x = 11,653.54 × 4,650.95
  4. Step 4: Simplify right side
    7,767.43x = 54,200,049.37
  5. Step 5: Solve for x
    x = 54,200,049.37/7,767.43
  6. Step 6: Final answer
    x = 6,977.86

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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.