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Finding the Fourth Proportional to 7,705.77, 10,633.96 and 4,168.98

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Solution

The fourth proportional to 7,705.77, 10,633.96 and 4,168.98 is: 5,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.77 : 10,633.96 = 4,168.98 : x
  2. Step 2: Convert to fraction form
    7,705.77/10,633.96 = 4,168.98/x
  3. Step 3: Cross multiply
    7,705.77x = 10,633.96 × 4,168.98
  4. Step 4: Simplify right side
    7,705.77x = 44,332,766.56
  5. Step 5: Solve for x
    x = 44,332,766.56/7,705.77
  6. Step 6: Final answer
    x = 5,753.19

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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.