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Finding the Fourth Proportional to 11,756.86, 17,629.62 and 6,216.46

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Solution

The fourth proportional to 11,756.86, 17,629.62 and 6,216.46 is: 9,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.86 : 17,629.62 = 6,216.46 : x
  2. Step 2: Convert to fraction form
    11,756.86/17,629.62 = 6,216.46/x
  3. Step 3: Cross multiply
    11,756.86x = 17,629.62 × 6,216.46
  4. Step 4: Simplify right side
    11,756.86x = 109,593,827.55
  5. Step 5: Solve for x
    x = 109,593,827.55/11,756.86
  6. Step 6: Final answer
    x = 9,321.69

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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.