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Finding the Fourth Proportional to 7,541.62, 11,370.29 and 7,033.42

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Solution

The fourth proportional to 7,541.62, 11,370.29 and 7,033.42 is: 10,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.62 : 11,370.29 = 7,033.42 : x
  2. Step 2: Convert to fraction form
    7,541.62/11,370.29 = 7,033.42/x
  3. Step 3: Cross multiply
    7,541.62x = 11,370.29 × 7,033.42
  4. Step 4: Simplify right side
    7,541.62x = 79,972,007.51
  5. Step 5: Solve for x
    x = 79,972,007.51/7,541.62
  6. Step 6: Final answer
    x = 10,604.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.