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Finding the Fourth Proportional to 8,311.44, 12,468.96 and 2,468.52

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Solution

The fourth proportional to 8,311.44, 12,468.96 and 2,468.52 is: 3,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.44 : 12,468.96 = 2,468.52 : x
  2. Step 2: Convert to fraction form
    8,311.44/12,468.96 = 2,468.52/x
  3. Step 3: Cross multiply
    8,311.44x = 12,468.96 × 2,468.52
  4. Step 4: Simplify right side
    8,311.44x = 30,779,877.14
  5. Step 5: Solve for x
    x = 30,779,877.14/8,311.44
  6. Step 6: Final answer
    x = 3,703.31

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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.