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Finding the Fourth Proportional to 11,782.52, 17,677.20 and 7,337.24

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Solution

The fourth proportional to 11,782.52, 17,677.20 and 7,337.24 is: 11,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.52 : 17,677.20 = 7,337.24 : x
  2. Step 2: Convert to fraction form
    11,782.52/17,677.20 = 7,337.24/x
  3. Step 3: Cross multiply
    11,782.52x = 17,677.20 × 7,337.24
  4. Step 4: Simplify right side
    11,782.52x = 129,701,858.93
  5. Step 5: Solve for x
    x = 129,701,858.93/11,782.52
  6. Step 6: Final answer
    x = 11,007.99

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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.