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Finding the Fourth Proportional to 11,800.30, 16,282.08 and 6,766.12

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Solution

The fourth proportional to 11,800.30, 16,282.08 and 6,766.12 is: 9,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.30 : 16,282.08 = 6,766.12 : x
  2. Step 2: Convert to fraction form
    11,800.30/16,282.08 = 6,766.12/x
  3. Step 3: Cross multiply
    11,800.30x = 16,282.08 × 6,766.12
  4. Step 4: Simplify right side
    11,800.30x = 110,166,507.13
  5. Step 5: Solve for x
    x = 110,166,507.13/11,800.30
  6. Step 6: Final answer
    x = 9,335.91

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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.