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Finding the Fourth Proportional to 7,409.88, 10,214.91 and 5,638.41

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Solution

The fourth proportional to 7,409.88, 10,214.91 and 5,638.41 is: 7,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.88 : 10,214.91 = 5,638.41 : x
  2. Step 2: Convert to fraction form
    7,409.88/10,214.91 = 5,638.41/x
  3. Step 3: Cross multiply
    7,409.88x = 10,214.91 × 5,638.41
  4. Step 4: Simplify right side
    7,409.88x = 57,595,850.69
  5. Step 5: Solve for x
    x = 57,595,850.69/7,409.88
  6. Step 6: Final answer
    x = 7,772.85

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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.