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Finding the Fourth Proportional to 7,344.47, 11,018.23 and 2,414.14

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Solution

The fourth proportional to 7,344.47, 11,018.23 and 2,414.14 is: 3,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.47 : 11,018.23 = 2,414.14 : x
  2. Step 2: Convert to fraction form
    7,344.47/11,018.23 = 2,414.14/x
  3. Step 3: Cross multiply
    7,344.47x = 11,018.23 × 2,414.14
  4. Step 4: Simplify right side
    7,344.47x = 26,599,516.19
  5. Step 5: Solve for x
    x = 26,599,516.19/7,344.47
  6. Step 6: Final answer
    x = 3,621.71

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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.