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Finding the Fourth Proportional to 8,496.84, 12,737.58 and 3,023.56

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Solution

The fourth proportional to 8,496.84, 12,737.58 and 3,023.56 is: 4,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.84 : 12,737.58 = 3,023.56 : x
  2. Step 2: Convert to fraction form
    8,496.84/12,737.58 = 3,023.56/x
  3. Step 3: Cross multiply
    8,496.84x = 12,737.58 × 3,023.56
  4. Step 4: Simplify right side
    8,496.84x = 38,512,837.38
  5. Step 5: Solve for x
    x = 38,512,837.38/8,496.84
  6. Step 6: Final answer
    x = 4,532.61

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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.