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Finding the Fourth Proportional to 8,602.20, 12,892.37 and 4,216.05

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Solution

The fourth proportional to 8,602.20, 12,892.37 and 4,216.05 is: 6,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.20 : 12,892.37 = 4,216.05 : x
  2. Step 2: Convert to fraction form
    8,602.20/12,892.37 = 4,216.05/x
  3. Step 3: Cross multiply
    8,602.20x = 12,892.37 × 4,216.05
  4. Step 4: Simplify right side
    8,602.20x = 54,354,855.46
  5. Step 5: Solve for x
    x = 54,354,855.46/8,602.20
  6. Step 6: Final answer
    x = 6,318.72

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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.