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Finding the Fourth Proportional to 10,071.92, 13,899.21 and 6,091.89

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Solution

The fourth proportional to 10,071.92, 13,899.21 and 6,091.89 is: 8,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.92 : 13,899.21 = 6,091.89 : x
  2. Step 2: Convert to fraction form
    10,071.92/13,899.21 = 6,091.89/x
  3. Step 3: Cross multiply
    10,071.92x = 13,899.21 × 6,091.89
  4. Step 4: Simplify right side
    10,071.92x = 84,672,458.41
  5. Step 5: Solve for x
    x = 84,672,458.41/10,071.92
  6. Step 6: Final answer
    x = 8,406.79

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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.