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Finding the Fourth Proportional to 8,523.37, 11,758.08 and 7,342.39

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Solution

The fourth proportional to 8,523.37, 11,758.08 and 7,342.39 is: 10,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.37 : 11,758.08 = 7,342.39 : x
  2. Step 2: Convert to fraction form
    8,523.37/11,758.08 = 7,342.39/x
  3. Step 3: Cross multiply
    8,523.37x = 11,758.08 × 7,342.39
  4. Step 4: Simplify right side
    8,523.37x = 86,332,409.01
  5. Step 5: Solve for x
    x = 86,332,409.01/8,523.37
  6. Step 6: Final answer
    x = 10,128.91

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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.