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Finding the Fourth Proportional to 7,984.26, 11,017.80 and 4,446.84

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Solution

The fourth proportional to 7,984.26, 11,017.80 and 4,446.84 is: 6,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.26 : 11,017.80 = 4,446.84 : x
  2. Step 2: Convert to fraction form
    7,984.26/11,017.80 = 4,446.84/x
  3. Step 3: Cross multiply
    7,984.26x = 11,017.80 × 4,446.84
  4. Step 4: Simplify right side
    7,984.26x = 48,994,393.75
  5. Step 5: Solve for x
    x = 48,994,393.75/7,984.26
  6. Step 6: Final answer
    x = 6,136.37

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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.