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Finding the Fourth Proportional to 8,427.25, 11,629.97 and 4,701.25

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Solution

The fourth proportional to 8,427.25, 11,629.97 and 4,701.25 is: 6,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.25 : 11,629.97 = 4,701.25 : x
  2. Step 2: Convert to fraction form
    8,427.25/11,629.97 = 4,701.25/x
  3. Step 3: Cross multiply
    8,427.25x = 11,629.97 × 4,701.25
  4. Step 4: Simplify right side
    8,427.25x = 54,675,396.46
  5. Step 5: Solve for x
    x = 54,675,396.46/8,427.25
  6. Step 6: Final answer
    x = 6,487.93

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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.