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Finding the Fourth Proportional to 8,310.08, 11,467.84 and 4,584

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Solution

The fourth proportional to 8,310.08, 11,467.84 and 4,584 is: 6,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.08 : 11,467.84 = 4,584 : x
  2. Step 2: Convert to fraction form
    8,310.08/11,467.84 = 4,584/x
  3. Step 3: Cross multiply
    8,310.08x = 11,467.84 × 4,584
  4. Step 4: Simplify right side
    8,310.08x = 52,568,578.56
  5. Step 5: Solve for x
    x = 52,568,578.56/8,310.08
  6. Step 6: Final answer
    x = 6,325.88

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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.