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Finding the Fourth Proportional to 8,502.25, 12,754.11 and 2,346.25

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Solution

The fourth proportional to 8,502.25, 12,754.11 and 2,346.25 is: 3,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.25 : 12,754.11 = 2,346.25 : x
  2. Step 2: Convert to fraction form
    8,502.25/12,754.11 = 2,346.25/x
  3. Step 3: Cross multiply
    8,502.25x = 12,754.11 × 2,346.25
  4. Step 4: Simplify right side
    8,502.25x = 29,924,330.59
  5. Step 5: Solve for x
    x = 29,924,330.59/8,502.25
  6. Step 6: Final answer
    x = 3,519.58

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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.