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Finding the Fourth Proportional to 11,889.12, 16,403.76 and 7,701.60

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Solution

The fourth proportional to 11,889.12, 16,403.76 and 7,701.60 is: 10,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.12 : 16,403.76 = 7,701.60 : x
  2. Step 2: Convert to fraction form
    11,889.12/16,403.76 = 7,701.60/x
  3. Step 3: Cross multiply
    11,889.12x = 16,403.76 × 7,701.60
  4. Step 4: Simplify right side
    11,889.12x = 126,335,198.02
  5. Step 5: Solve for x
    x = 126,335,198.02/11,889.12
  6. Step 6: Final answer
    x = 10,626.12

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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.