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Finding the Fourth Proportional to 12,800.08, 19,200.06 and 5,402.56

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Solution

The fourth proportional to 12,800.08, 19,200.06 and 5,402.56 is: 8,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.08 : 19,200.06 = 5,402.56 : x
  2. Step 2: Convert to fraction form
    12,800.08/19,200.06 = 5,402.56/x
  3. Step 3: Cross multiply
    12,800.08x = 19,200.06 × 5,402.56
  4. Step 4: Simplify right side
    12,800.08x = 103,729,476.15
  5. Step 5: Solve for x
    x = 103,729,476.15/12,800.08
  6. Step 6: Final answer
    x = 8,103.81

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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.