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Finding the Fourth Proportional to 11,762.82, 17,651.16 and 4,372.43

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Solution

The fourth proportional to 11,762.82, 17,651.16 and 4,372.43 is: 6,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.82 : 17,651.16 = 4,372.43 : x
  2. Step 2: Convert to fraction form
    11,762.82/17,651.16 = 4,372.43/x
  3. Step 3: Cross multiply
    11,762.82x = 17,651.16 × 4,372.43
  4. Step 4: Simplify right side
    11,762.82x = 77,178,373.26
  5. Step 5: Solve for x
    x = 77,178,373.26/11,762.82
  6. Step 6: Final answer
    x = 6,561.21

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Why These Related Problems?

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