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Finding the Fourth Proportional to 12,793.28, 19,207.86 and 6,557.77

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Solution

The fourth proportional to 12,793.28, 19,207.86 and 6,557.77 is: 9,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.28 : 19,207.86 = 6,557.77 : x
  2. Step 2: Convert to fraction form
    12,793.28/19,207.86 = 6,557.77/x
  3. Step 3: Cross multiply
    12,793.28x = 19,207.86 × 6,557.77
  4. Step 4: Simplify right side
    12,793.28x = 125,960,680.05
  5. Step 5: Solve for x
    x = 125,960,680.05/12,793.28
  6. Step 6: Final answer
    x = 9,845.85

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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.