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Finding the Fourth Proportional to 7,419.14, 10,238.43 and 4,062.16

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Solution

The fourth proportional to 7,419.14, 10,238.43 and 4,062.16 is: 5,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.14 : 10,238.43 = 4,062.16 : x
  2. Step 2: Convert to fraction form
    7,419.14/10,238.43 = 4,062.16/x
  3. Step 3: Cross multiply
    7,419.14x = 10,238.43 × 4,062.16
  4. Step 4: Simplify right side
    7,419.14x = 41,590,105.77
  5. Step 5: Solve for x
    x = 41,590,105.77/7,419.14
  6. Step 6: Final answer
    x = 5,605.78

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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.