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Finding the Fourth Proportional to 7,622.78, 11,434.74 and 2,428.70

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Solution

The fourth proportional to 7,622.78, 11,434.74 and 2,428.70 is: 3,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622.78 : 11,434.74 = 2,428.70 : x
  2. Step 2: Convert to fraction form
    7,622.78/11,434.74 = 2,428.70/x
  3. Step 3: Cross multiply
    7,622.78x = 11,434.74 × 2,428.70
  4. Step 4: Simplify right side
    7,622.78x = 27,771,553.04
  5. Step 5: Solve for x
    x = 27,771,553.04/7,622.78
  6. Step 6: Final answer
    x = 3,643.23

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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.