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Finding the Fourth Proportional to 11,660.55, 16,086.06 and 7,885.05

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Solution

The fourth proportional to 11,660.55, 16,086.06 and 7,885.05 is: 10,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.55 : 16,086.06 = 7,885.05 : x
  2. Step 2: Convert to fraction form
    11,660.55/16,086.06 = 7,885.05/x
  3. Step 3: Cross multiply
    11,660.55x = 16,086.06 × 7,885.05
  4. Step 4: Simplify right side
    11,660.55x = 126,839,387.40
  5. Step 5: Solve for x
    x = 126,839,387.40/11,660.55
  6. Step 6: Final answer
    x = 10,877.65

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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.