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Finding the Fourth Proportional to 11,594.72, 16,000.61 and 6,289.54

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Solution

The fourth proportional to 11,594.72, 16,000.61 and 6,289.54 is: 8,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.72 : 16,000.61 = 6,289.54 : x
  2. Step 2: Convert to fraction form
    11,594.72/16,000.61 = 6,289.54/x
  3. Step 3: Cross multiply
    11,594.72x = 16,000.61 × 6,289.54
  4. Step 4: Simplify right side
    11,594.72x = 100,636,405.17
  5. Step 5: Solve for x
    x = 100,636,405.17/11,594.72
  6. Step 6: Final answer
    x = 8,679.50

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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.