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Finding the Fourth Proportional to 12,086.01, 16,678.75 and 6,780.86

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Solution

The fourth proportional to 12,086.01, 16,678.75 and 6,780.86 is: 9,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.01 : 16,678.75 = 6,780.86 : x
  2. Step 2: Convert to fraction form
    12,086.01/16,678.75 = 6,780.86/x
  3. Step 3: Cross multiply
    12,086.01x = 16,678.75 × 6,780.86
  4. Step 4: Simplify right side
    12,086.01x = 113,096,293.47
  5. Step 5: Solve for x
    x = 113,096,293.47/12,086.01
  6. Step 6: Final answer
    x = 9,357.62

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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.