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Finding the Fourth Proportional to 11,744.60, 17,597.12 and 5,813.60

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Solution

The fourth proportional to 11,744.60, 17,597.12 and 5,813.60 is: 8,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.60 : 17,597.12 = 5,813.60 : x
  2. Step 2: Convert to fraction form
    11,744.60/17,597.12 = 5,813.60/x
  3. Step 3: Cross multiply
    11,744.60x = 17,597.12 × 5,813.60
  4. Step 4: Simplify right side
    11,744.60x = 102,302,616.83
  5. Step 5: Solve for x
    x = 102,302,616.83/11,744.60
  6. Step 6: Final answer
    x = 8,710.61

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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.