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Finding the Fourth Proportional to 8,576.58, 12,865.14 and 3,029.16

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Solution

The fourth proportional to 8,576.58, 12,865.14 and 3,029.16 is: 4,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.58 : 12,865.14 = 3,029.16 : x
  2. Step 2: Convert to fraction form
    8,576.58/12,865.14 = 3,029.16/x
  3. Step 3: Cross multiply
    8,576.58x = 12,865.14 × 3,029.16
  4. Step 4: Simplify right side
    8,576.58x = 38,970,567.48
  5. Step 5: Solve for x
    x = 38,970,567.48/8,576.58
  6. Step 6: Final answer
    x = 4,543.84

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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.