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Finding the Fourth Proportional to 8,288.53, 12,432.39 and 3,094

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Solution

The fourth proportional to 8,288.53, 12,432.39 and 3,094 is: 4,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.53 : 12,432.39 = 3,094 : x
  2. Step 2: Convert to fraction form
    8,288.53/12,432.39 = 3,094/x
  3. Step 3: Cross multiply
    8,288.53x = 12,432.39 × 3,094
  4. Step 4: Simplify right side
    8,288.53x = 38,465,814.66
  5. Step 5: Solve for x
    x = 38,465,814.66/8,288.53
  6. Step 6: Final answer
    x = 4,640.85

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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.