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Finding the Fourth Proportional to 7,214.58, 10,793.40 and 5,464.63

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Solution

The fourth proportional to 7,214.58, 10,793.40 and 5,464.63 is: 8,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.58 : 10,793.40 = 5,464.63 : x
  2. Step 2: Convert to fraction form
    7,214.58/10,793.40 = 5,464.63/x
  3. Step 3: Cross multiply
    7,214.58x = 10,793.40 × 5,464.63
  4. Step 4: Simplify right side
    7,214.58x = 58,981,937.44
  5. Step 5: Solve for x
    x = 58,981,937.44/7,214.58
  6. Step 6: Final answer
    x = 8,175.38

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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.