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Finding the Fourth Proportional to 10,216.57, 14,108.09 and 6,446.42

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Solution

The fourth proportional to 10,216.57, 14,108.09 and 6,446.42 is: 8,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.57 : 14,108.09 = 6,446.42 : x
  2. Step 2: Convert to fraction form
    10,216.57/14,108.09 = 6,446.42/x
  3. Step 3: Cross multiply
    10,216.57x = 14,108.09 × 6,446.42
  4. Step 4: Simplify right side
    10,216.57x = 90,946,676.58
  5. Step 5: Solve for x
    x = 90,946,676.58/10,216.57
  6. Step 6: Final answer
    x = 8,901.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.