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Finding the Fourth Proportional to 11,762.68, 16,232.34 and 6,727.72

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Solution

The fourth proportional to 11,762.68, 16,232.34 and 6,727.72 is: 9,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.68 : 16,232.34 = 6,727.72 : x
  2. Step 2: Convert to fraction form
    11,762.68/16,232.34 = 6,727.72/x
  3. Step 3: Cross multiply
    11,762.68x = 16,232.34 × 6,727.72
  4. Step 4: Simplify right side
    11,762.68x = 109,206,638.46
  5. Step 5: Solve for x
    x = 109,206,638.46/11,762.68
  6. Step 6: Final answer
    x = 9,284.16

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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.