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Finding the Fourth Proportional to 10,662.32, 14,714.16 and 5,946.96

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Solution

The fourth proportional to 10,662.32, 14,714.16 and 5,946.96 is: 8,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.32 : 14,714.16 = 5,946.96 : x
  2. Step 2: Convert to fraction form
    10,662.32/14,714.16 = 5,946.96/x
  3. Step 3: Cross multiply
    10,662.32x = 14,714.16 × 5,946.96
  4. Step 4: Simplify right side
    10,662.32x = 87,504,520.95
  5. Step 5: Solve for x
    x = 87,504,520.95/10,662.32
  6. Step 6: Final answer
    x = 8,206.89

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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.