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Finding the Fourth Proportional to 11,762.49, 16,232.53 and 6,385.15

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Solution

The fourth proportional to 11,762.49, 16,232.53 and 6,385.15 is: 8,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.49 : 16,232.53 = 6,385.15 : x
  2. Step 2: Convert to fraction form
    11,762.49/16,232.53 = 6,385.15/x
  3. Step 3: Cross multiply
    11,762.49x = 16,232.53 × 6,385.15
  4. Step 4: Simplify right side
    11,762.49x = 103,647,121.25
  5. Step 5: Solve for x
    x = 103,647,121.25/11,762.49
  6. Step 6: Final answer
    x = 8,811.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.