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Finding the Fourth Proportional to 11,735.50, 16,195 and 6,430.34

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Solution

The fourth proportional to 11,735.50, 16,195 and 6,430.34 is: 8,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.50 : 16,195 = 6,430.34 : x
  2. Step 2: Convert to fraction form
    11,735.50/16,195 = 6,430.34/x
  3. Step 3: Cross multiply
    11,735.50x = 16,195 × 6,430.34
  4. Step 4: Simplify right side
    11,735.50x = 104,139,356.30
  5. Step 5: Solve for x
    x = 104,139,356.30/11,735.50
  6. Step 6: Final answer
    x = 8,873.87

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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.