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Finding the Fourth Proportional to 7,705.68, 10,633.84 and 4,168.88

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Solution

The fourth proportional to 7,705.68, 10,633.84 and 4,168.88 is: 5,753.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.68 : 10,633.84 = 4,168.88 : x
  2. Step 2: Convert to fraction form
    7,705.68/10,633.84 = 4,168.88/x
  3. Step 3: Cross multiply
    7,705.68x = 10,633.84 × 4,168.88
  4. Step 4: Simplify right side
    7,705.68x = 44,331,202.90
  5. Step 5: Solve for x
    x = 44,331,202.90/7,705.68
  6. Step 6: Final answer
    x = 5,753.06

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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.