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Finding the Fourth Proportional to 11,744.86, 17,597.48 and 5,813.84

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Solution

The fourth proportional to 11,744.86, 17,597.48 and 5,813.84 is: 8,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.86 : 17,597.48 = 5,813.84 : x
  2. Step 2: Convert to fraction form
    11,744.86/17,597.48 = 5,813.84/x
  3. Step 3: Cross multiply
    11,744.86x = 17,597.48 × 5,813.84
  4. Step 4: Simplify right side
    11,744.86x = 102,308,933.12
  5. Step 5: Solve for x
    x = 102,308,933.12/11,744.86
  6. Step 6: Final answer
    x = 8,710.95

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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.