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Finding the Fourth Proportional to 10,693.48, 16,042.96 and 4,451.42

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Solution

The fourth proportional to 10,693.48, 16,042.96 and 4,451.42 is: 6,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.48 : 16,042.96 = 4,451.42 : x
  2. Step 2: Convert to fraction form
    10,693.48/16,042.96 = 4,451.42/x
  3. Step 3: Cross multiply
    10,693.48x = 16,042.96 × 4,451.42
  4. Step 4: Simplify right side
    10,693.48x = 71,413,930.75
  5. Step 5: Solve for x
    x = 71,413,930.75/10,693.48
  6. Step 6: Final answer
    x = 6,678.27

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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.