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Finding the Fourth Proportional to 27,096.64, 40,648.84 and 8,378.13

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Solution

The fourth proportional to 27,096.64, 40,648.84 and 8,378.13 is: 12,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,096.64 : 40,648.84 = 8,378.13 : x
  2. Step 2: Convert to fraction form
    27,096.64/40,648.84 = 8,378.13/x
  3. Step 3: Cross multiply
    27,096.64x = 40,648.84 × 8,378.13
  4. Step 4: Simplify right side
    27,096.64x = 340,561,265.87
  5. Step 5: Solve for x
    x = 340,561,265.87/27,096.64
  6. Step 6: Final answer
    x = 12,568.39

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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.