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Finding the Fourth Proportional to 10,659.57, 16,003.26 and 7,165.23

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Solution

The fourth proportional to 10,659.57, 16,003.26 and 7,165.23 is: 10,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.57 : 16,003.26 = 7,165.23 : x
  2. Step 2: Convert to fraction form
    10,659.57/16,003.26 = 7,165.23/x
  3. Step 3: Cross multiply
    10,659.57x = 16,003.26 × 7,165.23
  4. Step 4: Simplify right side
    10,659.57x = 114,666,995.21
  5. Step 5: Solve for x
    x = 114,666,995.21/10,659.57
  6. Step 6: Final answer
    x = 10,757.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.