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Finding the Fourth Proportional to 7,761.24, 10,709.94 and 4,616.84

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Solution

The fourth proportional to 7,761.24, 10,709.94 and 4,616.84 is: 6,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.24 : 10,709.94 = 4,616.84 : x
  2. Step 2: Convert to fraction form
    7,761.24/10,709.94 = 4,616.84/x
  3. Step 3: Cross multiply
    7,761.24x = 10,709.94 × 4,616.84
  4. Step 4: Simplify right side
    7,761.24x = 49,446,079.39
  5. Step 5: Solve for x
    x = 49,446,079.39/7,761.24
  6. Step 6: Final answer
    x = 6,370.90

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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.