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Finding the Fourth Proportional to 8,734, 13,099.68 and 2,889.84

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Solution

The fourth proportional to 8,734, 13,099.68 and 2,889.84 is: 4,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734 : 13,099.68 = 2,889.84 : x
  2. Step 2: Convert to fraction form
    8,734/13,099.68 = 2,889.84/x
  3. Step 3: Cross multiply
    8,734x = 13,099.68 × 2,889.84
  4. Step 4: Simplify right side
    8,734x = 37,855,979.25
  5. Step 5: Solve for x
    x = 37,855,979.25/8,734
  6. Step 6: Final answer
    x = 4,334.32

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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.