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Finding the Fourth Proportional to 8,576.60, 12,865.00 and 3,026.05

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Solution

The fourth proportional to 8,576.60, 12,865.00 and 3,026.05 is: 4,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.60 : 12,865.00 = 3,026.05 : x
  2. Step 2: Convert to fraction form
    8,576.60/12,865.00 = 3,026.05/x
  3. Step 3: Cross multiply
    8,576.60x = 12,865.00 × 3,026.05
  4. Step 4: Simplify right side
    8,576.60x = 38,930,053.79
  5. Step 5: Solve for x
    x = 38,930,053.79/8,576.60
  6. Step 6: Final answer
    x = 4,539.10

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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.