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Finding the Fourth Proportional to 11,735.91, 16,194.92 and 6,430.64

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Solution

The fourth proportional to 11,735.91, 16,194.92 and 6,430.64 is: 8,873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.91 : 16,194.92 = 6,430.64 : x
  2. Step 2: Convert to fraction form
    11,735.91/16,194.92 = 6,430.64/x
  3. Step 3: Cross multiply
    11,735.91x = 16,194.92 × 6,430.64
  4. Step 4: Simplify right side
    11,735.91x = 104,143,587.22
  5. Step 5: Solve for x
    x = 104,143,587.22/11,735.91
  6. Step 6: Final answer
    x = 8,873.93

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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.