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Finding the Fourth Proportional to 11,152.35, 16,732.17 and 8,029.80

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Solution

The fourth proportional to 11,152.35, 16,732.17 and 8,029.80 is: 12,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.35 : 16,732.17 = 8,029.80 : x
  2. Step 2: Convert to fraction form
    11,152.35/16,732.17 = 8,029.80/x
  3. Step 3: Cross multiply
    11,152.35x = 16,732.17 × 8,029.80
  4. Step 4: Simplify right side
    11,152.35x = 134,355,978.67
  5. Step 5: Solve for x
    x = 134,355,978.67/11,152.35
  6. Step 6: Final answer
    x = 12,047.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.