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Finding the Fourth Proportional to 11,009.88, 16,492.80 and 5,446.41

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Solution

The fourth proportional to 11,009.88, 16,492.80 and 5,446.41 is: 8,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.88 : 16,492.80 = 5,446.41 : x
  2. Step 2: Convert to fraction form
    11,009.88/16,492.80 = 5,446.41/x
  3. Step 3: Cross multiply
    11,009.88x = 16,492.80 × 5,446.41
  4. Step 4: Simplify right side
    11,009.88x = 89,826,550.85
  5. Step 5: Solve for x
    x = 89,826,550.85/11,009.88
  6. Step 6: Final answer
    x = 8,158.72

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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.