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Finding the Fourth Proportional to 8,390.97, 11,578.84 and 4,614.03

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Solution

The fourth proportional to 8,390.97, 11,578.84 and 4,614.03 is: 6,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.97 : 11,578.84 = 4,614.03 : x
  2. Step 2: Convert to fraction form
    8,390.97/11,578.84 = 4,614.03/x
  3. Step 3: Cross multiply
    8,390.97x = 11,578.84 × 4,614.03
  4. Step 4: Simplify right side
    8,390.97x = 53,425,103.59
  5. Step 5: Solve for x
    x = 53,425,103.59/8,390.97
  6. Step 6: Final answer
    x = 6,366.98

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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.