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Finding the Fourth Proportional to 8,449.68, 11,657.67 and 5,091.21

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Solution

The fourth proportional to 8,449.68, 11,657.67 and 5,091.21 is: 7,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.68 : 11,657.67 = 5,091.21 : x
  2. Step 2: Convert to fraction form
    8,449.68/11,657.67 = 5,091.21/x
  3. Step 3: Cross multiply
    8,449.68x = 11,657.67 × 5,091.21
  4. Step 4: Simplify right side
    8,449.68x = 59,351,646.08
  5. Step 5: Solve for x
    x = 59,351,646.08/8,449.68
  6. Step 6: Final answer
    x = 7,024.13

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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.