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Finding the Fourth Proportional to 8,289.72, 12,432.06 and 6,825.24

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Solution

The fourth proportional to 8,289.72, 12,432.06 and 6,825.24 is: 10,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.72 : 12,432.06 = 6,825.24 : x
  2. Step 2: Convert to fraction form
    8,289.72/12,432.06 = 6,825.24/x
  3. Step 3: Cross multiply
    8,289.72x = 12,432.06 × 6,825.24
  4. Step 4: Simplify right side
    8,289.72x = 84,851,793.19
  5. Step 5: Solve for x
    x = 84,851,793.19/8,289.72
  6. Step 6: Final answer
    x = 10,235.79

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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.