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Finding the Fourth Proportional to 8,542.59, 11,796.90 and 8,076.64

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Solution

The fourth proportional to 8,542.59, 11,796.90 and 8,076.64 is: 11,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.59 : 11,796.90 = 8,076.64 : x
  2. Step 2: Convert to fraction form
    8,542.59/11,796.90 = 8,076.64/x
  3. Step 3: Cross multiply
    8,542.59x = 11,796.90 × 8,076.64
  4. Step 4: Simplify right side
    8,542.59x = 95,279,314.42
  5. Step 5: Solve for x
    x = 95,279,314.42/8,542.59
  6. Step 6: Final answer
    x = 11,153.45

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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.