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Finding the Fourth Proportional to 11,832.86, 16,329.94 and 6,527.36

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Solution

The fourth proportional to 11,832.86, 16,329.94 and 6,527.36 is: 9,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.86 : 16,329.94 = 6,527.36 : x
  2. Step 2: Convert to fraction form
    11,832.86/16,329.94 = 6,527.36/x
  3. Step 3: Cross multiply
    11,832.86x = 16,329.94 × 6,527.36
  4. Step 4: Simplify right side
    11,832.86x = 106,591,397.16
  5. Step 5: Solve for x
    x = 106,591,397.16/11,832.86
  6. Step 6: Final answer
    x = 9,008.08

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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.