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Finding the Fourth Proportional to 11,594.54, 16,000.44 and 6,289.34

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Solution

The fourth proportional to 11,594.54, 16,000.44 and 6,289.34 is: 8,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.54 : 16,000.44 = 6,289.34 : x
  2. Step 2: Convert to fraction form
    11,594.54/16,000.44 = 6,289.34/x
  3. Step 3: Cross multiply
    11,594.54x = 16,000.44 × 6,289.34
  4. Step 4: Simplify right side
    11,594.54x = 100,632,207.31
  5. Step 5: Solve for x
    x = 100,632,207.31/11,594.54
  6. Step 6: Final answer
    x = 8,679.28

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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.