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Finding the Fourth Proportional to 7,591.76, 10,476.24 and 4,446.80

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Solution

The fourth proportional to 7,591.76, 10,476.24 and 4,446.80 is: 6,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.76 : 10,476.24 = 4,446.80 : x
  2. Step 2: Convert to fraction form
    7,591.76/10,476.24 = 4,446.80/x
  3. Step 3: Cross multiply
    7,591.76x = 10,476.24 × 4,446.80
  4. Step 4: Simplify right side
    7,591.76x = 46,585,744.03
  5. Step 5: Solve for x
    x = 46,585,744.03/7,591.76
  6. Step 6: Final answer
    x = 6,136.36

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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.