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Finding the Fourth Proportional to 8,282.33, 11,429.10 and 4,505.46

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Solution

The fourth proportional to 8,282.33, 11,429.10 and 4,505.46 is: 6,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.33 : 11,429.10 = 4,505.46 : x
  2. Step 2: Convert to fraction form
    8,282.33/11,429.10 = 4,505.46/x
  3. Step 3: Cross multiply
    8,282.33x = 11,429.10 × 4,505.46
  4. Step 4: Simplify right side
    8,282.33x = 51,493,352.89
  5. Step 5: Solve for x
    x = 51,493,352.89/8,282.33
  6. Step 6: Final answer
    x = 6,217.25

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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.