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Finding the Fourth Proportional to 11,762.28, 17,642.10 and 3,442.37

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Solution

The fourth proportional to 11,762.28, 17,642.10 and 3,442.37 is: 5,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.28 : 17,642.10 = 3,442.37 : x
  2. Step 2: Convert to fraction form
    11,762.28/17,642.10 = 3,442.37/x
  3. Step 3: Cross multiply
    11,762.28x = 17,642.10 × 3,442.37
  4. Step 4: Simplify right side
    11,762.28x = 60,730,560.48
  5. Step 5: Solve for x
    x = 60,730,560.48/11,762.28
  6. Step 6: Final answer
    x = 5,163.16

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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.