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Finding the Fourth Proportional to 8,419.76, 12,628.80 and 2,576.42

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Solution

The fourth proportional to 8,419.76, 12,628.80 and 2,576.42 is: 3,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.76 : 12,628.80 = 2,576.42 : x
  2. Step 2: Convert to fraction form
    8,419.76/12,628.80 = 2,576.42/x
  3. Step 3: Cross multiply
    8,419.76x = 12,628.80 × 2,576.42
  4. Step 4: Simplify right side
    8,419.76x = 32,537,092.90
  5. Step 5: Solve for x
    x = 32,537,092.90/8,419.76
  6. Step 6: Final answer
    x = 3,864.37

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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.