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Finding the Fourth Proportional to 12,160.32, 16,780.93 and 6,855.09

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Solution

The fourth proportional to 12,160.32, 16,780.93 and 6,855.09 is: 9,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.32 : 16,780.93 = 6,855.09 : x
  2. Step 2: Convert to fraction form
    12,160.32/16,780.93 = 6,855.09/x
  3. Step 3: Cross multiply
    12,160.32x = 16,780.93 × 6,855.09
  4. Step 4: Simplify right side
    12,160.32x = 115,034,785.43
  5. Step 5: Solve for x
    x = 115,034,785.43/12,160.32
  6. Step 6: Final answer
    x = 9,459.85

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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.