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Finding the Fourth Proportional to 11,886.76, 16,405.46 and 6,850.02

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Solution

The fourth proportional to 11,886.76, 16,405.46 and 6,850.02 is: 9,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.76 : 16,405.46 = 6,850.02 : x
  2. Step 2: Convert to fraction form
    11,886.76/16,405.46 = 6,850.02/x
  3. Step 3: Cross multiply
    11,886.76x = 16,405.46 × 6,850.02
  4. Step 4: Simplify right side
    11,886.76x = 112,377,729.11
  5. Step 5: Solve for x
    x = 112,377,729.11/11,886.76
  6. Step 6: Final answer
    x = 9,454.03

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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.