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Finding the Fourth Proportional to 7,617.38, 10,516.09 and 5,352.10

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Solution

The fourth proportional to 7,617.38, 10,516.09 and 5,352.10 is: 7,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.38 : 10,516.09 = 5,352.10 : x
  2. Step 2: Convert to fraction form
    7,617.38/10,516.09 = 5,352.10/x
  3. Step 3: Cross multiply
    7,617.38x = 10,516.09 × 5,352.10
  4. Step 4: Simplify right side
    7,617.38x = 56,283,165.29
  5. Step 5: Solve for x
    x = 56,283,165.29/7,617.38
  6. Step 6: Final answer
    x = 7,388.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.