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Finding the Fourth Proportional to 8,284.25, 11,431.92 and 4,507.43

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Solution

The fourth proportional to 8,284.25, 11,431.92 and 4,507.43 is: 6,220.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.25 : 11,431.92 = 4,507.43 : x
  2. Step 2: Convert to fraction form
    8,284.25/11,431.92 = 4,507.43/x
  3. Step 3: Cross multiply
    8,284.25x = 11,431.92 × 4,507.43
  4. Step 4: Simplify right side
    8,284.25x = 51,528,537.10
  5. Step 5: Solve for x
    x = 51,528,537.10/8,284.25
  6. Step 6: Final answer
    x = 6,220.06

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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.