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Finding the Fourth Proportional to 7,400.30, 10,212.12 and 4,214.03

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Solution

The fourth proportional to 7,400.30, 10,212.12 and 4,214.03 is: 5,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.30 : 10,212.12 = 4,214.03 : x
  2. Step 2: Convert to fraction form
    7,400.30/10,212.12 = 4,214.03/x
  3. Step 3: Cross multiply
    7,400.30x = 10,212.12 × 4,214.03
  4. Step 4: Simplify right side
    7,400.30x = 43,034,180.04
  5. Step 5: Solve for x
    x = 43,034,180.04/7,400.30
  6. Step 6: Final answer
    x = 5,815.19

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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.