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Finding the Fourth Proportional to 11,056.50, 16,592.04 and 4,131

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Solution

The fourth proportional to 11,056.50, 16,592.04 and 4,131 is: 6,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,056.50 : 16,592.04 = 4,131 : x
  2. Step 2: Convert to fraction form
    11,056.50/16,592.04 = 4,131/x
  3. Step 3: Cross multiply
    11,056.50x = 16,592.04 × 4,131
  4. Step 4: Simplify right side
    11,056.50x = 68,541,717.24
  5. Step 5: Solve for x
    x = 68,541,717.24/11,056.50
  6. Step 6: Final answer
    x = 6,199.22

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Why These Related Problems?

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