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Finding the Fourth Proportional to 8,399.34, 12,599.72 and 2,556

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Solution

The fourth proportional to 8,399.34, 12,599.72 and 2,556 is: 3,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.34 : 12,599.72 = 2,556 : x
  2. Step 2: Convert to fraction form
    8,399.34/12,599.72 = 2,556/x
  3. Step 3: Cross multiply
    8,399.34x = 12,599.72 × 2,556
  4. Step 4: Simplify right side
    8,399.34x = 32,204,884.32
  5. Step 5: Solve for x
    x = 32,204,884.32/8,399.34
  6. Step 6: Final answer
    x = 3,834.22

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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.