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Finding the Fourth Proportional to 11,742.93, 16,205.86 and 6,437.97

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Solution

The fourth proportional to 11,742.93, 16,205.86 and 6,437.97 is: 8,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.93 : 16,205.86 = 6,437.97 : x
  2. Step 2: Convert to fraction form
    11,742.93/16,205.86 = 6,437.97/x
  3. Step 3: Cross multiply
    11,742.93x = 16,205.86 × 6,437.97
  4. Step 4: Simplify right side
    11,742.93x = 104,332,840.50
  5. Step 5: Solve for x
    x = 104,332,840.50/11,742.93
  6. Step 6: Final answer
    x = 8,884.74

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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.