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Finding the Fourth Proportional to 12,674.08, 19,007.28 and 3,790

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Solution

The fourth proportional to 12,674.08, 19,007.28 and 3,790 is: 5,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.08 : 19,007.28 = 3,790 : x
  2. Step 2: Convert to fraction form
    12,674.08/19,007.28 = 3,790/x
  3. Step 3: Cross multiply
    12,674.08x = 19,007.28 × 3,790
  4. Step 4: Simplify right side
    12,674.08x = 72,037,591.20
  5. Step 5: Solve for x
    x = 72,037,591.20/12,674.08
  6. Step 6: Final answer
    x = 5,683.85

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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.