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Finding the Fourth Proportional to 12,763.44, 17,610.96 and 7,457.23

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Solution

The fourth proportional to 12,763.44, 17,610.96 and 7,457.23 is: 10,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.44 : 17,610.96 = 7,457.23 : x
  2. Step 2: Convert to fraction form
    12,763.44/17,610.96 = 7,457.23/x
  3. Step 3: Cross multiply
    12,763.44x = 17,610.96 × 7,457.23
  4. Step 4: Simplify right side
    12,763.44x = 131,328,979.24
  5. Step 5: Solve for x
    x = 131,328,979.24/12,763.44
  6. Step 6: Final answer
    x = 10,289.47

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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.