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Finding the Fourth Proportional to 8,751.36, 13,096.20 and 5,466

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Solution

The fourth proportional to 8,751.36, 13,096.20 and 5,466 is: 8,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751.36 : 13,096.20 = 5,466 : x
  2. Step 2: Convert to fraction form
    8,751.36/13,096.20 = 5,466/x
  3. Step 3: Cross multiply
    8,751.36x = 13,096.20 × 5,466
  4. Step 4: Simplify right side
    8,751.36x = 71,583,829.20
  5. Step 5: Solve for x
    x = 71,583,829.20/8,751.36
  6. Step 6: Final answer
    x = 8,179.74

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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.