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Finding the Fourth Proportional to 12,490.92, 17,245.44 and 7,782.12

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Solution

The fourth proportional to 12,490.92, 17,245.44 and 7,782.12 is: 10,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490.92 : 17,245.44 = 7,782.12 : x
  2. Step 2: Convert to fraction form
    12,490.92/17,245.44 = 7,782.12/x
  3. Step 3: Cross multiply
    12,490.92x = 17,245.44 × 7,782.12
  4. Step 4: Simplify right side
    12,490.92x = 134,206,083.53
  5. Step 5: Solve for x
    x = 134,206,083.53/12,490.92
  6. Step 6: Final answer
    x = 10,744.29

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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.