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Finding the Fourth Proportional to 8,141.00, 11,229.23 and 6,459.74

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Solution

The fourth proportional to 8,141.00, 11,229.23 and 6,459.74 is: 8,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.00 : 11,229.23 = 6,459.74 : x
  2. Step 2: Convert to fraction form
    8,141.00/11,229.23 = 6,459.74/x
  3. Step 3: Cross multiply
    8,141.00x = 11,229.23 × 6,459.74
  4. Step 4: Simplify right side
    8,141.00x = 72,537,850.05
  5. Step 5: Solve for x
    x = 72,537,850.05/8,141.00
  6. Step 6: Final answer
    x = 8,910.19

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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.