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Finding the Fourth Proportional to 11,869.50, 16,380.18 and 7,685.04

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Solution

The fourth proportional to 11,869.50, 16,380.18 and 7,685.04 is: 10,605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.50 : 16,380.18 = 7,685.04 : x
  2. Step 2: Convert to fraction form
    11,869.50/16,380.18 = 7,685.04/x
  3. Step 3: Cross multiply
    11,869.50x = 16,380.18 × 7,685.04
  4. Step 4: Simplify right side
    11,869.50x = 125,882,338.51
  5. Step 5: Solve for x
    x = 125,882,338.51/11,869.50
  6. Step 6: Final answer
    x = 10,605.53

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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.