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Finding the Fourth Proportional to 13,090.10, 18,061.89 and 7,786.22

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Solution

The fourth proportional to 13,090.10, 18,061.89 and 7,786.22 is: 10,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.10 : 18,061.89 = 7,786.22 : x
  2. Step 2: Convert to fraction form
    13,090.10/18,061.89 = 7,786.22/x
  3. Step 3: Cross multiply
    13,090.10x = 18,061.89 × 7,786.22
  4. Step 4: Simplify right side
    13,090.10x = 140,633,849.16
  5. Step 5: Solve for x
    x = 140,633,849.16/13,090.10
  6. Step 6: Final answer
    x = 10,743.53

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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.