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Finding the Fourth Proportional to 10,723.32, 16,080.93 and 5,174.82

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Solution

The fourth proportional to 10,723.32, 16,080.93 and 5,174.82 is: 7,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.32 : 16,080.93 = 5,174.82 : x
  2. Step 2: Convert to fraction form
    10,723.32/16,080.93 = 5,174.82/x
  3. Step 3: Cross multiply
    10,723.32x = 16,080.93 × 5,174.82
  4. Step 4: Simplify right side
    10,723.32x = 83,215,918.18
  5. Step 5: Solve for x
    x = 83,215,918.18/10,723.32
  6. Step 6: Final answer
    x = 7,760.28

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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.