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Finding the Fourth Proportional to 7,984.68, 11,020.26 and 6,093.16

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Solution

The fourth proportional to 7,984.68, 11,020.26 and 6,093.16 is: 8,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.68 : 11,020.26 = 6,093.16 : x
  2. Step 2: Convert to fraction form
    7,984.68/11,020.26 = 6,093.16/x
  3. Step 3: Cross multiply
    7,984.68x = 11,020.26 × 6,093.16
  4. Step 4: Simplify right side
    7,984.68x = 67,148,207.42
  5. Step 5: Solve for x
    x = 67,148,207.42/7,984.68
  6. Step 6: Final answer
    x = 8,409.63

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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.