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Finding the Fourth Proportional to 8,179.70, 11,285.42 and 4,642.25

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Solution

The fourth proportional to 8,179.70, 11,285.42 and 4,642.25 is: 6,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.70 : 11,285.42 = 4,642.25 : x
  2. Step 2: Convert to fraction form
    8,179.70/11,285.42 = 4,642.25/x
  3. Step 3: Cross multiply
    8,179.70x = 11,285.42 × 4,642.25
  4. Step 4: Simplify right side
    8,179.70x = 52,389,661.36
  5. Step 5: Solve for x
    x = 52,389,661.36/8,179.70
  6. Step 6: Final answer
    x = 6,404.84

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