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Finding the Fourth Proportional to 11,820.96, 16,311.92 and 6,785.07

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Solution

The fourth proportional to 11,820.96, 16,311.92 and 6,785.07 is: 9,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.96 : 16,311.92 = 6,785.07 : x
  2. Step 2: Convert to fraction form
    11,820.96/16,311.92 = 6,785.07/x
  3. Step 3: Cross multiply
    11,820.96x = 16,311.92 × 6,785.07
  4. Step 4: Simplify right side
    11,820.96x = 110,677,485.11
  5. Step 5: Solve for x
    x = 110,677,485.11/11,820.96
  6. Step 6: Final answer
    x = 9,362.82

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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.