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Finding the Fourth Proportional to 11,734.96, 16,194.62 and 6,430.11

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Solution

The fourth proportional to 11,734.96, 16,194.62 and 6,430.11 is: 8,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.96 : 16,194.62 = 6,430.11 : x
  2. Step 2: Convert to fraction form
    11,734.96/16,194.62 = 6,430.11/x
  3. Step 3: Cross multiply
    11,734.96x = 16,194.62 × 6,430.11
  4. Step 4: Simplify right side
    11,734.96x = 104,133,155.86
  5. Step 5: Solve for x
    x = 104,133,155.86/11,734.96
  6. Step 6: Final answer
    x = 8,873.76

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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.