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Finding the Fourth Proportional to 8,648.46, 12,954.65 and 8,025.80

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Solution

The fourth proportional to 8,648.46, 12,954.65 and 8,025.80 is: 12,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.46 : 12,954.65 = 8,025.80 : x
  2. Step 2: Convert to fraction form
    8,648.46/12,954.65 = 8,025.80/x
  3. Step 3: Cross multiply
    8,648.46x = 12,954.65 × 8,025.80
  4. Step 4: Simplify right side
    8,648.46x = 103,971,325.07
  5. Step 5: Solve for x
    x = 103,971,325.07/8,648.46
  6. Step 6: Final answer
    x = 12,021.95

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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.