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Finding the Fourth Proportional to 11,594.82, 16,000.41 and 6,289.45

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Solution

The fourth proportional to 11,594.82, 16,000.41 and 6,289.45 is: 8,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.82 : 16,000.41 = 6,289.45 : x
  2. Step 2: Convert to fraction form
    11,594.82/16,000.41 = 6,289.45/x
  3. Step 3: Cross multiply
    11,594.82x = 16,000.41 × 6,289.45
  4. Step 4: Simplify right side
    11,594.82x = 100,633,778.67
  5. Step 5: Solve for x
    x = 100,633,778.67/11,594.82
  6. Step 6: Final answer
    x = 8,679.20

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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.