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Finding the Fourth Proportional to 11,735.63, 16,195.08 and 6,430.44

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Solution

The fourth proportional to 11,735.63, 16,195.08 and 6,430.44 is: 8,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.63 : 16,195.08 = 6,430.44 : x
  2. Step 2: Convert to fraction form
    11,735.63/16,195.08 = 6,430.44/x
  3. Step 3: Cross multiply
    11,735.63x = 16,195.08 × 6,430.44
  4. Step 4: Simplify right side
    11,735.63x = 104,141,409.26
  5. Step 5: Solve for x
    x = 104,141,409.26/11,735.63
  6. Step 6: Final answer
    x = 8,873.95

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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.