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Finding the Fourth Proportional to 12,760.32, 19,145.95 and 5,366.44

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Solution

The fourth proportional to 12,760.32, 19,145.95 and 5,366.44 is: 8,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.32 : 19,145.95 = 5,366.44 : x
  2. Step 2: Convert to fraction form
    12,760.32/19,145.95 = 5,366.44/x
  3. Step 3: Cross multiply
    12,760.32x = 19,145.95 × 5,366.44
  4. Step 4: Simplify right side
    12,760.32x = 102,745,591.92
  5. Step 5: Solve for x
    x = 102,745,591.92/12,760.32
  6. Step 6: Final answer
    x = 8,051.96

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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.