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Finding the Fourth Proportional to 8,432.66, 12,638.10 and 4,532.60

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Solution

The fourth proportional to 8,432.66, 12,638.10 and 4,532.60 is: 6,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.66 : 12,638.10 = 4,532.60 : x
  2. Step 2: Convert to fraction form
    8,432.66/12,638.10 = 4,532.60/x
  3. Step 3: Cross multiply
    8,432.66x = 12,638.10 × 4,532.60
  4. Step 4: Simplify right side
    8,432.66x = 57,283,452.06
  5. Step 5: Solve for x
    x = 57,283,452.06/8,432.66
  6. Step 6: Final answer
    x = 6,793.05

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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.