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Finding the Fourth Proportional to 8,300.41, 11,454.23 and 4,523.49

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Solution

The fourth proportional to 8,300.41, 11,454.23 and 4,523.49 is: 6,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.41 : 11,454.23 = 4,523.49 : x
  2. Step 2: Convert to fraction form
    8,300.41/11,454.23 = 4,523.49/x
  3. Step 3: Cross multiply
    8,300.41x = 11,454.23 × 4,523.49
  4. Step 4: Simplify right side
    8,300.41x = 51,813,132.16
  5. Step 5: Solve for x
    x = 51,813,132.16/8,300.41
  6. Step 6: Final answer
    x = 6,242.24

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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.