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Finding the Fourth Proportional to 8,507.44, 12,759.72 and 2,350

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Solution

The fourth proportional to 8,507.44, 12,759.72 and 2,350 is: 3,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.44 : 12,759.72 = 2,350 : x
  2. Step 2: Convert to fraction form
    8,507.44/12,759.72 = 2,350/x
  3. Step 3: Cross multiply
    8,507.44x = 12,759.72 × 2,350
  4. Step 4: Simplify right side
    8,507.44x = 29,985,342
  5. Step 5: Solve for x
    x = 29,985,342/8,507.44
  6. Step 6: Final answer
    x = 3,524.60

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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.