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Finding the Fourth Proportional to 7,705.55, 10,633.73 and 4,168.83

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Solution

The fourth proportional to 7,705.55, 10,633.73 and 4,168.83 is: 5,753.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.55 : 10,633.73 = 4,168.83 : x
  2. Step 2: Convert to fraction form
    7,705.55/10,633.73 = 4,168.83/x
  3. Step 3: Cross multiply
    7,705.55x = 10,633.73 × 4,168.83
  4. Step 4: Simplify right side
    7,705.55x = 44,330,255.12
  5. Step 5: Solve for x
    x = 44,330,255.12/7,705.55
  6. Step 6: Final answer
    x = 5,753.03

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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.