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Finding the Fourth Proportional to 11,610.24, 17,406.42 and 5,762.31

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Solution

The fourth proportional to 11,610.24, 17,406.42 and 5,762.31 is: 8,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.24 : 17,406.42 = 5,762.31 : x
  2. Step 2: Convert to fraction form
    11,610.24/17,406.42 = 5,762.31/x
  3. Step 3: Cross multiply
    11,610.24x = 17,406.42 × 5,762.31
  4. Step 4: Simplify right side
    11,610.24x = 100,301,188.03
  5. Step 5: Solve for x
    x = 100,301,188.03/11,610.24
  6. Step 6: Final answer
    x = 8,639.03

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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.