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Finding the Fourth Proportional to 11,913.59, 16,441.49 and 6,878.73

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Solution

The fourth proportional to 11,913.59, 16,441.49 and 6,878.73 is: 9,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.59 : 16,441.49 = 6,878.73 : x
  2. Step 2: Convert to fraction form
    11,913.59/16,441.49 = 6,878.73/x
  3. Step 3: Cross multiply
    11,913.59x = 16,441.49 × 6,878.73
  4. Step 4: Simplify right side
    11,913.59x = 113,096,570.51
  5. Step 5: Solve for x
    x = 113,096,570.51/11,913.59
  6. Step 6: Final answer
    x = 9,493.07

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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.