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Finding the Fourth Proportional to 10,179.66, 15,266.76 and 6,912.83

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Solution

The fourth proportional to 10,179.66, 15,266.76 and 6,912.83 is: 10,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.66 : 15,266.76 = 6,912.83 : x
  2. Step 2: Convert to fraction form
    10,179.66/15,266.76 = 6,912.83/x
  3. Step 3: Cross multiply
    10,179.66x = 15,266.76 × 6,912.83
  4. Step 4: Simplify right side
    10,179.66x = 105,536,516.53
  5. Step 5: Solve for x
    x = 105,536,516.53/10,179.66
  6. Step 6: Final answer
    x = 10,367.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.