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Finding the Fourth Proportional to 11,735.72, 16,195.31 and 6,430.42

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Solution

The fourth proportional to 11,735.72, 16,195.31 and 6,430.42 is: 8,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.72 : 16,195.31 = 6,430.42 : x
  2. Step 2: Convert to fraction form
    11,735.72/16,195.31 = 6,430.42/x
  3. Step 3: Cross multiply
    11,735.72x = 16,195.31 × 6,430.42
  4. Step 4: Simplify right side
    11,735.72x = 104,142,657.54
  5. Step 5: Solve for x
    x = 104,142,657.54/11,735.72
  6. Step 6: Final answer
    x = 8,873.99

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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.