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Finding the Fourth Proportional to 8,568.34, 12,852.92 and 2,725

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Solution

The fourth proportional to 8,568.34, 12,852.92 and 2,725 is: 4,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.34 : 12,852.92 = 2,725 : x
  2. Step 2: Convert to fraction form
    8,568.34/12,852.92 = 2,725/x
  3. Step 3: Cross multiply
    8,568.34x = 12,852.92 × 2,725
  4. Step 4: Simplify right side
    8,568.34x = 35,024,207
  5. Step 5: Solve for x
    x = 35,024,207/8,568.34
  6. Step 6: Final answer
    x = 4,087.63

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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.