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Finding the Fourth Proportional to 12,766.28, 17,617.67 and 7,461.32

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Solution

The fourth proportional to 12,766.28, 17,617.67 and 7,461.32 is: 10,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.28 : 17,617.67 = 7,461.32 : x
  2. Step 2: Convert to fraction form
    12,766.28/17,617.67 = 7,461.32/x
  3. Step 3: Cross multiply
    12,766.28x = 17,617.67 × 7,461.32
  4. Step 4: Simplify right side
    12,766.28x = 131,450,948.13
  5. Step 5: Solve for x
    x = 131,450,948.13/12,766.28
  6. Step 6: Final answer
    x = 10,296.73

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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.