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Finding the Fourth Proportional to 7,141.58, 10,722.20 and 3,633.96

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Solution

The fourth proportional to 7,141.58, 10,722.20 and 3,633.96 is: 5,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.58 : 10,722.20 = 3,633.96 : x
  2. Step 2: Convert to fraction form
    7,141.58/10,722.20 = 3,633.96/x
  3. Step 3: Cross multiply
    7,141.58x = 10,722.20 × 3,633.96
  4. Step 4: Simplify right side
    7,141.58x = 38,964,045.91
  5. Step 5: Solve for x
    x = 38,964,045.91/7,141.58
  6. Step 6: Final answer
    x = 5,455.94

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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.