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Finding the Fourth Proportional to 8,385.20, 12,571.80 and 4,222.24

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Solution

The fourth proportional to 8,385.20, 12,571.80 and 4,222.24 is: 6,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.20 : 12,571.80 = 4,222.24 : x
  2. Step 2: Convert to fraction form
    8,385.20/12,571.80 = 4,222.24/x
  3. Step 3: Cross multiply
    8,385.20x = 12,571.80 × 4,222.24
  4. Step 4: Simplify right side
    8,385.20x = 53,081,156.83
  5. Step 5: Solve for x
    x = 53,081,156.83/8,385.20
  6. Step 6: Final answer
    x = 6,330.34

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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.