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Finding the Fourth Proportional to 8,419.98, 12,630 and 2,576.57

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Solution

The fourth proportional to 8,419.98, 12,630 and 2,576.57 is: 3,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.98 : 12,630 = 2,576.57 : x
  2. Step 2: Convert to fraction form
    8,419.98/12,630 = 2,576.57/x
  3. Step 3: Cross multiply
    8,419.98x = 12,630 × 2,576.57
  4. Step 4: Simplify right side
    8,419.98x = 32,542,015.95
  5. Step 5: Solve for x
    x = 32,542,015.95/8,419.98
  6. Step 6: Final answer
    x = 3,864.86

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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.