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Finding the Fourth Proportional to 8,494.63, 11,720.16 and 5,135

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Solution

The fourth proportional to 8,494.63, 11,720.16 and 5,135 is: 7,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.63 : 11,720.16 = 5,135 : x
  2. Step 2: Convert to fraction form
    8,494.63/11,720.16 = 5,135/x
  3. Step 3: Cross multiply
    8,494.63x = 11,720.16 × 5,135
  4. Step 4: Simplify right side
    8,494.63x = 60,183,021.60
  5. Step 5: Solve for x
    x = 60,183,021.60/8,494.63
  6. Step 6: Final answer
    x = 7,084.83

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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.