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Finding the Fourth Proportional to 10,699.62, 14,771.28 and 6,451.44

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Solution

The fourth proportional to 10,699.62, 14,771.28 and 6,451.44 is: 8,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.62 : 14,771.28 = 6,451.44 : x
  2. Step 2: Convert to fraction form
    10,699.62/14,771.28 = 6,451.44/x
  3. Step 3: Cross multiply
    10,699.62x = 14,771.28 × 6,451.44
  4. Step 4: Simplify right side
    10,699.62x = 95,296,026.64
  5. Step 5: Solve for x
    x = 95,296,026.64/10,699.62
  6. Step 6: Final answer
    x = 8,906.49

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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.