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Finding the Fourth Proportional to 11,552.64, 17,331.84 and 3,762.24

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Solution

The fourth proportional to 11,552.64, 17,331.84 and 3,762.24 is: 5,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.64 : 17,331.84 = 3,762.24 : x
  2. Step 2: Convert to fraction form
    11,552.64/17,331.84 = 3,762.24/x
  3. Step 3: Cross multiply
    11,552.64x = 17,331.84 × 3,762.24
  4. Step 4: Simplify right side
    11,552.64x = 65,206,541.72
  5. Step 5: Solve for x
    x = 65,206,541.72/11,552.64
  6. Step 6: Final answer
    x = 5,644.30

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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.