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Finding the Fourth Proportional to 8,467.44, 12,699.72 and 2,310

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Solution

The fourth proportional to 8,467.44, 12,699.72 and 2,310 is: 3,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.44 : 12,699.72 = 2,310 : x
  2. Step 2: Convert to fraction form
    8,467.44/12,699.72 = 2,310/x
  3. Step 3: Cross multiply
    8,467.44x = 12,699.72 × 2,310
  4. Step 4: Simplify right side
    8,467.44x = 29,336,353.20
  5. Step 5: Solve for x
    x = 29,336,353.20/8,467.44
  6. Step 6: Final answer
    x = 3,464.61

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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.