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Finding the Fourth Proportional to 18,074.88, 27,106.56 and 5,760

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Solution

The fourth proportional to 18,074.88, 27,106.56 and 5,760 is: 8,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,074.88 : 27,106.56 = 5,760 : x
  2. Step 2: Convert to fraction form
    18,074.88/27,106.56 = 5,760/x
  3. Step 3: Cross multiply
    18,074.88x = 27,106.56 × 5,760
  4. Step 4: Simplify right side
    18,074.88x = 156,133,785.60
  5. Step 5: Solve for x
    x = 156,133,785.60/18,074.88
  6. Step 6: Final answer
    x = 8,638.16

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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.