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Finding the Fourth Proportional to 8,146.89, 11,242.68 and 4,420.89

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Solution

The fourth proportional to 8,146.89, 11,242.68 and 4,420.89 is: 6,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.89 : 11,242.68 = 4,420.89 : x
  2. Step 2: Convert to fraction form
    8,146.89/11,242.68 = 4,420.89/x
  3. Step 3: Cross multiply
    8,146.89x = 11,242.68 × 4,420.89
  4. Step 4: Simplify right side
    8,146.89x = 49,702,651.59
  5. Step 5: Solve for x
    x = 49,702,651.59/8,146.89
  6. Step 6: Final answer
    x = 6,100.81

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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.