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Finding the Fourth Proportional to 8,107.59, 11,182.67 and 5,269.67

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Solution

The fourth proportional to 8,107.59, 11,182.67 and 5,269.67 is: 7,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.59 : 11,182.67 = 5,269.67 : x
  2. Step 2: Convert to fraction form
    8,107.59/11,182.67 = 5,269.67/x
  3. Step 3: Cross multiply
    8,107.59x = 11,182.67 × 5,269.67
  4. Step 4: Simplify right side
    8,107.59x = 58,929,052.60
  5. Step 5: Solve for x
    x = 58,929,052.60/8,107.59
  6. Step 6: Final answer
    x = 7,268.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.