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Finding the Fourth Proportional to 7,419.68, 10,233.44 and 5,057.72

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Solution

The fourth proportional to 7,419.68, 10,233.44 and 5,057.72 is: 6,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.68 : 10,233.44 = 5,057.72 : x
  2. Step 2: Convert to fraction form
    7,419.68/10,233.44 = 5,057.72/x
  3. Step 3: Cross multiply
    7,419.68x = 10,233.44 × 5,057.72
  4. Step 4: Simplify right side
    7,419.68x = 51,757,874.16
  5. Step 5: Solve for x
    x = 51,757,874.16/7,419.68
  6. Step 6: Final answer
    x = 6,975.76

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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.