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Finding the Fourth Proportional to 7,506.57, 11,256 and 4,387.26

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Solution

The fourth proportional to 7,506.57, 11,256 and 4,387.26 is: 6,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.57 : 11,256 = 4,387.26 : x
  2. Step 2: Convert to fraction form
    7,506.57/11,256 = 4,387.26/x
  3. Step 3: Cross multiply
    7,506.57x = 11,256 × 4,387.26
  4. Step 4: Simplify right side
    7,506.57x = 49,382,998.56
  5. Step 5: Solve for x
    x = 49,382,998.56/7,506.57
  6. Step 6: Final answer
    x = 6,578.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.