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Finding the Fourth Proportional to 8,188.63, 12,282.81 and 2,032.63

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Solution

The fourth proportional to 8,188.63, 12,282.81 and 2,032.63 is: 3,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.63 : 12,282.81 = 2,032.63 : x
  2. Step 2: Convert to fraction form
    8,188.63/12,282.81 = 2,032.63/x
  3. Step 3: Cross multiply
    8,188.63x = 12,282.81 × 2,032.63
  4. Step 4: Simplify right side
    8,188.63x = 24,966,408.09
  5. Step 5: Solve for x
    x = 24,966,408.09/8,188.63
  6. Step 6: Final answer
    x = 3,048.91

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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.