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Finding the Fourth Proportional to 10,123.68, 15,187.68 and 3,198.24

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Solution

The fourth proportional to 10,123.68, 15,187.68 and 3,198.24 is: 4,798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.68 : 15,187.68 = 3,198.24 : x
  2. Step 2: Convert to fraction form
    10,123.68/15,187.68 = 3,198.24/x
  3. Step 3: Cross multiply
    10,123.68x = 15,187.68 × 3,198.24
  4. Step 4: Simplify right side
    10,123.68x = 48,573,845.68
  5. Step 5: Solve for x
    x = 48,573,845.68/10,123.68
  6. Step 6: Final answer
    x = 4,798.04

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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.